Class 10th Mathematics AP Board Solution
Exercise 10.1- A joker’s cap is in the form of right circular cone whose base radius is 7 cm…
- A sports company was ordered 100 paper cylinders for packing shuttle cocks. The…
- Find the volume of right circular cone with radius 6 cm. and height 7 cm.…
- The lateral surface area of a cylinder is equal to the curved surface area of a…
- A self-help group wants to manufacture joker’s caps of 3 cm. radius and 4 cm…
- A cylinder and cone have base of equal radii and are of equal heights. Show…
- The shape of solid iron rod is a cylindrical. Its height is 11 cm. and base…
- A heap of rice is in the form of a cone of diameter 12 m. and height 8 m. Find…
- The curved surface area of a cone is 4070cm^2 and its diameter is 70 cm. What…
Exercise 10.2- A toy is in the form of a cone mounted on a hemisphere. The diameter of the…
- A solid is in the form of a right circular cylinder with a hemisphere one end…
- A medicine capsule is in the shape of a cylinder with two hemispheres stuck to…
- Two cubes each of volume 64cm^2 are joined end to end together. Find the…
- A storage tank consists of a circular cylinder with a hemisphere stuck on…
- A sphere, a cylinder and a cone have the same radius and same height. Find the…
- A hemisphere is cut out from one face of a cubical wooden block such that the…
- A wooden article was made by scooping out a hemisphere from each end of a solid…
Exercise 10.3- An iron pillar consists of a cylindrical portion of 2.8 m. height and 20 cm. in…
- A toy is made in the form of hemisphere surmounted by a right cone whose…
- Find the volume of the largest right circular cone that can be cut out of a…
- A cylindrical tub of radius 5 cm and length 9.8 cm is full of water. A solid in…
- In the adjacent figure, the height of a solid cylinder is 10 cm and diameter is…
- Spherical Marbles of diameter 1.4 cm are dropped into a cylindrical beaker of…
- A pen stand is made of wood in the shape of cuboid with three conical…
Exercise 10.4- A metallic sphere of radius 4.2 cm. is melted and recast into the shape of a…
- Three metallic spheres of radii 6 cm., 8 cm. and 10 cm. respectively are melted…
- A 20 m deep well of diameter 7 m. is dug and the earth got by digging is evenly…
- A well of diameter 14 m. is dug 15 m. deep. The earth taken out of it has been…
- A container shaped like a right circular cylinder having diameter 12 cm. and…
- How many silver coins, 1.75 cm. in diameter and thickness 2 mm, need to be…
- A vessel is in the form of an inverted cone. Its height is 8 cm. and the radius…
- A solid metallic sphere of diameter 28 cm is melted and recast into a number of…
- A joker’s cap is in the form of right circular cone whose base radius is 7 cm…
- A sports company was ordered 100 paper cylinders for packing shuttle cocks. The…
- Find the volume of right circular cone with radius 6 cm. and height 7 cm.…
- The lateral surface area of a cylinder is equal to the curved surface area of a…
- A self-help group wants to manufacture joker’s caps of 3 cm. radius and 4 cm…
- A cylinder and cone have base of equal radii and are of equal heights. Show…
- The shape of solid iron rod is a cylindrical. Its height is 11 cm. and base…
- A heap of rice is in the form of a cone of diameter 12 m. and height 8 m. Find…
- The curved surface area of a cone is 4070cm^2 and its diameter is 70 cm. What…
- A toy is in the form of a cone mounted on a hemisphere. The diameter of the…
- A solid is in the form of a right circular cylinder with a hemisphere one end…
- A medicine capsule is in the shape of a cylinder with two hemispheres stuck to…
- Two cubes each of volume 64cm^2 are joined end to end together. Find the…
- A storage tank consists of a circular cylinder with a hemisphere stuck on…
- A sphere, a cylinder and a cone have the same radius and same height. Find the…
- A hemisphere is cut out from one face of a cubical wooden block such that the…
- A wooden article was made by scooping out a hemisphere from each end of a solid…
- An iron pillar consists of a cylindrical portion of 2.8 m. height and 20 cm. in…
- A toy is made in the form of hemisphere surmounted by a right cone whose…
- Find the volume of the largest right circular cone that can be cut out of a…
- A cylindrical tub of radius 5 cm and length 9.8 cm is full of water. A solid in…
- In the adjacent figure, the height of a solid cylinder is 10 cm and diameter is…
- Spherical Marbles of diameter 1.4 cm are dropped into a cylindrical beaker of…
- A pen stand is made of wood in the shape of cuboid with three conical…
- A metallic sphere of radius 4.2 cm. is melted and recast into the shape of a…
- Three metallic spheres of radii 6 cm., 8 cm. and 10 cm. respectively are melted…
- A 20 m deep well of diameter 7 m. is dug and the earth got by digging is evenly…
- A well of diameter 14 m. is dug 15 m. deep. The earth taken out of it has been…
- A container shaped like a right circular cylinder having diameter 12 cm. and…
- How many silver coins, 1.75 cm. in diameter and thickness 2 mm, need to be…
- A vessel is in the form of an inverted cone. Its height is 8 cm. and the radius…
- A solid metallic sphere of diameter 28 cm is melted and recast into a number of…
Exercise 10.1
Question 1.A joker’s cap is in the form of right circular cone whose base radius is 7 cm and height is 24 cm. Find the area of the sheet required to make 10 such caps.
Answer:![](data:image/png;base64,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)
Given that, the radius of cone(r) is 7 cm and height(h) is
24 cm.
And, Surface area of cone is - πrl
Also, slant height(l) = √ r2 + h2
⇒ l = √ 72 + 242
⇒ l = √ 49 + 576
⇒ l = √ 625
⇒ l = 25
⇒ Surface area of joker’s cap![](data:image/png;base64,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)
= 550cm2
⇒ ∴ the area of the sheet required to make 10 such caps
= 550 × 10 cm2
= 5500 cm2
Question 2.A sports company was ordered 100 paper cylinders for packing shuttle cocks. The required dimensions of the cylinder are 35 cm length/height and its radius is 7 cm. Find the required area of thick paper sheet needed to make 100 cylinders?
Answer:Given that, the radius of cylinder(r) required is 7 cm and height (h) is 35 cm.
And, Surface area of cylinder is - 2Ï€rh
⇒ Surface area ![](data:image/png;base64,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)
= 1540cm2
⇒The required area of thick paper sheet needed to make 100 cylinders = 1540 × 100 cm2
= 154000 cm2
Question 3.Find the volume of right circular cone with radius 6 cm. and height 7 cm.
Answer:![](data:image/png;base64,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)
Given that, the radius of cone(r) is 6 cm and height(h) is 7 cm.
And, volume of the cone![](data:image/png;base64,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)
⇒ Volume of the right circular cone![](data:image/png;base64,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)
![](data:image/png;base64,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)
= 264 cm3
Question 4.The lateral surface area of a cylinder is equal to the curved surface area of a cone. If their bases be the same, find the ratio of the height of the cylinder to the slant height of the cone.
Answer:![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAABwAAAAaCAYAAACkVDyJAAAAAXNSR0ICQMB9xQAAAAlwSFlzAAAOxAAADsQBlSsOGwAAABl0RVh0U29mdHdhcmUATWljcm9zb2Z0IE9mZmljZX/tNXEAAABZSURBVEjHY3j98f7/1x/v0QU3NjYyMNDLslELRy0cjhaer/1vymD0v+U8keKjFg5SCxn+M2DFo0E6auFoWTpq4eCy8BOdm4k37p45Tw984uz+NWALQQQ9MQA7QMxnX7k4zQAAAABJRU5ErkJggg==)
![](data:image/png;base64,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)
Given that, the lateral surface area of a cylinder is equal to the curved surface area of a cone and their bases are same.
⇒Let r = radius of cylinder = radius of cone, h = height of cylinder and l = slant height of the cone.
And, lateral surface area of cylinder = 2Ï€rh
Also, curved surface area of cone = πrl
⇒2Ï€rh = Ï€rl
![](data:image/png;base64,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)
![](data:image/png;base64,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)
⇒ The ratio of the height of the cylinder to the slant height of the cone = 1:2
Question 5.A self-help group wants to manufacture joker’s caps of 3 cm. radius and 4 cm height. If the available paper sheet is
then how many caps can be manufactured from that paper sheet?
Answer:![](data:image/png;base64,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)
Given that, the radius(r) of cone is 3 cm and height (h) is
4 cm.
And, the available paper sheet is- 1000 cm2
And, Surface area of cone is - πrl
Also, slant height(l) = √ r2 + h2
⇒ l = √ 32 + 42
⇒ l = √ 9 + 16
⇒ l = √ 25
⇒ l = 5
⇒ Surface area of joker’s cap![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAHcAAAAeCAMAAAAhHHEqAAAAAXNSR0IArs4c6QAAAH5QTFRFAAAAAAAAAAA6AABmADpmADqQAGa2OgAAOgA6OjoAOjpmOmaQOma2OpDbZgAAZgA6ZjoAZjo6ZjpmZmaQZrbbZrb/kDoAkDo6kDqQkGY6kLbbkNv/tmYAttv/tv//25A625Bm27Zm27aQ29u22////7Zm/9uQ/9u2//+2///by2EY/QAAAAF0Uk5TAEDm2GYAAAAJcEhZcwAADsQAAA7EAZUrDhsAAAAZdEVYdFNvZnR3YXJlAE1pY3Jvc29mdCBPZmZpY2V/7TVxAAABgUlEQVRIS+1V23aCMBBMrEpbrbUXsWpaSwVC/v8Hu5sLJiEIVRpfnHM8a3Dc2d1MAiE3mAkclpTOYWFipMlUz1uSjXbExEiyUqa83zkxlvb+SSmZGEk3w+0FmBhJdq9lTYwkW4BssYKPjoPJfivTtKBaUMCKmHhSVmQPlI5P5pM+TTAnHJKhwEZbwtPOhGUC8zsT1euX/CfXUS7YFF0P06kRpF2iK9IxClcL7bqjFLtTFUkEaZfoQsZJDrLYoQ2+mX3a6xDN02W42xKdO6RamRyW09xRRffN3EcBWpk8Jl32q2tRX9xWKLTs4yex5yzr82li/d7Hfm3OayaUzILqa7Xe4lB5cJgM7Zw5Bxo+JtTOgu0I0JrWaOvPfW4MY01apNhCYZ+j2n72hjCkeeX1E5WuwlRO1QKvDK5+qIfcpBEmaZ4NegrzN5W91FEu+AZuwLndWpj2Ag51j1tP1Tg0MC7AvyH+X1t85ESsh3t9/KVifP1eAVdrN/7u4nRv7Q7isV9bmx2VSMAhhQAAAABJRU5ErkJggg==)
![](data:image/png;base64,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)
And, the available paper sheet is- 1000 cm2
⇒ No. of caps that can be manufactured from that paper sheet
![](data:image/png;base64,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)
![](data:image/png;base64,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)
= 21.21 cm2
= 21 cm2
Question 6.A cylinder and cone have base of equal radii and are of equal heights. Show that their volumes are in the ratio of 3 : 1.
Answer:![](data:image/png;base64,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)
Given that, A cylinder and cone have base of equal radii and are of equal heights and their volumes are in the ratio of 3 : 1.
⇒ Let r = radius of cylinder = radius of cone,
and h = height of cylinder = height of cone.
⇒ And, volume of cylinder = Ï€r2h
Volume of cone![](data:image/png;base64,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)
![](data:image/png;base64,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)
![](data:image/png;base64,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)
⇒ Their volumes are in the ratio of 3 : 1.
Question 7.The shape of solid iron rod is a cylindrical. Its height is 11 cm. and base diameter is 7 cm. Then find the total volume of 50 such rods?
Answer:![](data:image/png;base64,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)
Given that, height(h) of cylinder is 11 cm and diameter(d) is 7 cm.
⇒ radius(r) of cylinder![](data:image/png;base64,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)
And, the volume of cylinder = πr2h
⇒ volume of one rod![](data:image/png;base64,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)
⇒ volume of one rod![](data:image/png;base64,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)
= 423.5
⇒ the total volume of 50 such rods = 423.5 × 50
= 21,175cm3
Question 8.A heap of rice is in the form of a cone of diameter 12 m. and height 8 m. Find its volume? How much canvas cloth is required to cover the heap?
(use π = 3.14)
Answer:![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAB0AAAAaCAYAAABLlle3AAAAAXNSR0ICQMB9xQAAAAlwSFlzAAAOxAAADsQBlSsOGwAAABl0RVh0U29mdHdhcmUATWljcm9zb2Z0IE9mZmljZX/tNXEAAAA+SURBVEjH7c1BEQAgDAPBSkQSNVMblYCNuCgDIvK6zFy+G2Ncd+/MjAAFBQUFBQUFBQU1o5KOq6paH33n7gJ3Lwtf6E+ieQAAAABJRU5ErkJggg==)
![](data:image/png;base64,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)
Given that, the diameter(d) of cone is 12 cm and heigh(h)t is 8 cm.
⇒ radius(r)![](data:image/png;base64,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)
And, Surface area of cone is - πrl
Also, volume of cone![](data:image/png;base64,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)
Also, slant height(l) = √ r2 + h2
⇒ l = √ 62 + 82
⇒ l = √ 36 + 64
⇒ l = √ 100
⇒ l = 10
⇒ volume of heap![](data:image/png;base64,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)
![](data:image/png;base64,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)
= 301.44 cm3
⇒ Surface area of cone = 3.14 × 6 × 10
= 188.4 cm2
⇒ ∴ canvas cloth required to cover the heap = 188.4 cm2
Question 9.The curved surface area of a cone is 4070cm2 and its diameter is 70 cm. What is its slant height?
Answer:![](data:image/png;base64,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)
Given that, curved surface area of a cone is 4070 cm2 and diameter(d) is 70 cm.
⇒ radius(r)![](data:image/png;base64,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)
Let the slant height be l.
And, curved surface area of a cone = πrl
⇒ Ï€rl = 4070
![](data:image/png;base64,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)
![](data:image/png;base64,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)
⇒ l = 37 cm
A joker’s cap is in the form of right circular cone whose base radius is 7 cm and height is 24 cm. Find the area of the sheet required to make 10 such caps.
Answer:
Given that, the radius of cone(r) is 7 cm and height(h) is
24 cm.
And, Surface area of cone is - πrl
Also, slant height(l) = √ r2 + h2
⇒ l = √ 72 + 242
⇒ l = √ 49 + 576
⇒ l = √ 625
⇒ l = 25
⇒ Surface area of joker’s cap
= 550cm2
⇒ ∴ the area of the sheet required to make 10 such caps
= 550 × 10 cm2
= 5500 cm2
Question 2.
A sports company was ordered 100 paper cylinders for packing shuttle cocks. The required dimensions of the cylinder are 35 cm length/height and its radius is 7 cm. Find the required area of thick paper sheet needed to make 100 cylinders?
Answer:
Given that, the radius of cylinder(r) required is 7 cm and height (h) is 35 cm.
And, Surface area of cylinder is - 2Ï€rh
⇒ Surface area
= 1540cm2
⇒The required area of thick paper sheet needed to make 100 cylinders = 1540 × 100 cm2
= 154000 cm2
Question 3.
Find the volume of right circular cone with radius 6 cm. and height 7 cm.
Answer:
Given that, the radius of cone(r) is 6 cm and height(h) is 7 cm.
And, volume of the cone
⇒ Volume of the right circular cone
= 264 cm3
Question 4.
The lateral surface area of a cylinder is equal to the curved surface area of a cone. If their bases be the same, find the ratio of the height of the cylinder to the slant height of the cone.
Answer:
Given that, the lateral surface area of a cylinder is equal to the curved surface area of a cone and their bases are same.
⇒Let r = radius of cylinder = radius of cone, h = height of cylinder and l = slant height of the cone.
And, lateral surface area of cylinder = 2Ï€rh
Also, curved surface area of cone = πrl
⇒2Ï€rh = Ï€rl
⇒ The ratio of the height of the cylinder to the slant height of the cone = 1:2
Question 5.
A self-help group wants to manufacture joker’s caps of 3 cm. radius and 4 cm height. If the available paper sheet is then how many caps can be manufactured from that paper sheet?
Answer:
Given that, the radius(r) of cone is 3 cm and height (h) is
4 cm.
And, the available paper sheet is- 1000 cm2
And, Surface area of cone is - πrl
Also, slant height(l) = √ r2 + h2
⇒ l = √ 32 + 42
⇒ l = √ 9 + 16
⇒ l = √ 25
⇒ l = 5
⇒ Surface area of joker’s cap
And, the available paper sheet is- 1000 cm2
⇒ No. of caps that can be manufactured from that paper sheet
= 21.21 cm2
= 21 cm2
Question 6.
A cylinder and cone have base of equal radii and are of equal heights. Show that their volumes are in the ratio of 3 : 1.
Answer:
Given that, A cylinder and cone have base of equal radii and are of equal heights and their volumes are in the ratio of 3 : 1.
⇒ Let r = radius of cylinder = radius of cone,
and h = height of cylinder = height of cone.
⇒ And, volume of cylinder = Ï€r2h
Volume of cone
⇒ Their volumes are in the ratio of 3 : 1.
Question 7.
The shape of solid iron rod is a cylindrical. Its height is 11 cm. and base diameter is 7 cm. Then find the total volume of 50 such rods?
Answer:
Given that, height(h) of cylinder is 11 cm and diameter(d) is 7 cm.
⇒ radius(r) of cylinder
And, the volume of cylinder = πr2h
⇒ volume of one rod
⇒ volume of one rod
= 423.5
⇒ the total volume of 50 such rods = 423.5 × 50
= 21,175cm3
Question 8.
A heap of rice is in the form of a cone of diameter 12 m. and height 8 m. Find its volume? How much canvas cloth is required to cover the heap?
(use π = 3.14)
Answer:
Given that, the diameter(d) of cone is 12 cm and heigh(h)t is 8 cm.
⇒ radius(r)
And, Surface area of cone is - πrl
Also, volume of cone
Also, slant height(l) = √ r2 + h2
⇒ l = √ 62 + 82
⇒ l = √ 36 + 64
⇒ l = √ 100
⇒ l = 10
⇒ volume of heap
= 301.44 cm3
⇒ Surface area of cone = 3.14 × 6 × 10
= 188.4 cm2
⇒ ∴ canvas cloth required to cover the heap = 188.4 cm2
Question 9.
The curved surface area of a cone is 4070cm2 and its diameter is 70 cm. What is its slant height?
Answer:
Given that, curved surface area of a cone is 4070 cm2 and diameter(d) is 70 cm.
⇒ radius(r)
Let the slant height be l.
And, curved surface area of a cone = πrl
⇒ Ï€rl = 4070
⇒ l = 37 cm
Exercise 10.2
Question 1.A toy is in the form of a cone mounted on a hemisphere. The diameter of the base and the height of the cone are 6 cm and 4 cm respectively. Determine the surface area of the toy.
(use π = 3.14)
Answer:![](data:image/png;base64,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)
Given that, diameter(d) is 6 cm and height(h) is 4 cm.
⇒ radius(r)![](data:image/png;base64,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)
Also, slant height(l) = √ r2 + h2
⇒ l = √ 32 + 42
⇒ l = √ 9 + 16
⇒ l = √ 25
⇒ l = 5
And, surface area of the toy = surface area of the cone + surface area of hemisphere
⇒ Surface area of toy = Ï€rl + 2Ï€r2
= πr(l + 2r)
![](data:image/png;base64,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)
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAFsAAAApCAMAAABtAqVhAAAAAXNSR0IArs4c6QAAAGxQTFRFAAAAAAAAAAA6AABmADpmADqQAGa2OgAAOgA6OjoAOmaQOma2OpDbZgAAZjoAZjpmZmaQZrbbZrb/kDoAkGY6kLbbkNv/tmYAttv/tv//25A627Zm27aQ29u22////7Zm/9uQ/9u2//+2///b2yZHKwAAAAF0Uk5TAEDm2GYAAAAJcEhZcwAADsQAAA7EAZUrDhsAAAAZdEVYdFNvZnR3YXJlAE1pY3Jvc29mdCBPZmZpY2V/7TVxAAABkElEQVRIS+1WXVODMBBMai3aSv1INYpVCPn//9G7hHCU6chC07feC8uwu7k5LpcodQu0Av6413r9QXRBqHaKZ/WrcuXdl1KCpjTod7shZqXfyLtHqBbi1ewdQhAkBEiWaxJCECBDKE2R0haE6ACON08dSxAgQyje8E/kEIToEI7d/KZi9wjRAZzqnqxrroogQIZQmgfak96StyBEh3CsDkHeghDdjTOogP9+TIOzR7kKZFfvypkVdYCgBd7tcxwzrnuGl0yD05s1m7flbpxYhuHmDW2stkwzIa3gDtvPiBPq+peamYuFBZn/7EeToC213oYxIeisW9w5pzEkeqN5JoziWKSBLwhLdtqbjqc0liNaXJMziTdF8hY0M/H0LwdViccHH6uCZroGerDmXzZoFM/bxvEHQUu83UtMuOmeXdsVWu/4gzsk9J95FRvlTGGXpHSqsXzOZz/jB2tU/SXl8mRHDm2Z2iq7tarwSTB38fx3E8kg/yVTvO1VGjBuj35AzC3mND/73ViWvGYD1hc14B99tRgN0tppZwAAAABJRU5ErkJggg==)
= 103.71 cm2
Question 2.A solid is in the form of a right circular cylinder with a hemisphere one end and a cone at the other end. The radius of the common base is 8 cm. and the heights of the cylindrical and conical portion are 10 cm and 6 cm respectively. Find the total surface area of the solid.
(use π = 3.14)
Answer:The figure is shown below:
![](data:image/jpeg;base64,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Given that, radius(r) is 8 cm, height of cylinder(H) is 10 cm and height of cone(h) is 6cm.
Also, l = √ r2 + h2
⇒ l = √ 82 + 62
⇒ l = √ 64 + 36
⇒ l = √ 100
⇒ l = 10
Now, total surface area of solid = surface area of cone + surface area of cylinder + surface area of sphere
⇒ total surface area of solid = Ï€rl + 2Ï€rH + 2Ï€r2 = Ï€r(l + 2H + 2r)
= 3.14 × 8(10 + 2 × 10 + 2 × 8)
= 3.14 × 8 × 46
= 1155.55 cm2
Question 3.A medicine capsule is in the shape of a cylinder with two hemispheres stuck to each of its ends. The length of the capsule is 14 mm. and the width is 5 mm. Find its surface area.
![](data:image/png;base64,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)
Answer:Given that, the length of the capsule is 14 mm and the width is 5 mm.
⇒ Radius(r)![](data:image/png;base64,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)
⇒ height of cylinder(h) = total height-2 × radius of hemisphere
= 14-5 = 9mm
⇒ surface area of capsule = surface area of cylinder + 2 × surface
Area of one hemisphere
= 2Ï€rh + 2 × 2Ï€r2
= 2Ï€r(h + 2r)
![](data:image/png;base64,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)
![](data:image/png;base64,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)
= 220 mm2
Question 4.Two cubes each of volume 64cm2 are joined end to end together. Find the surface area of the resulting cuboid.
Answer:![](data:image/png;base64,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)
Given that, volume of cube is 64 cm3.
Also, volume of cube = a3 (where, a is side)
⇒ a3 = 64
⇒a = 4
⇒ Length(l) of cuboid = 2 × a = 8 cm,
Breadth(b) = height(h) = a = 4 cm
⇒ the total surface area of the resulting cuboid = 2(lb + bh + hl)
⇒ 2 × (8 × 4 + 4 × 4 + 4 × 8)
= 2 × 80
= 160 cm2
Question 5.A storage tank consists of a circular cylinder with a hemisphere stuck on either end. If the external diameter of the cylinder be 1.4 m. and its length be 8 m. find the cost of painting it on the outside at rate of D20 per m2.
Answer:The figure is shown below:
![](data:image/jpeg;base64,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)
Given that, diameter(d) of cylinder is 1.4 m and length(h) is 8 m.
⇒ the radius of sphere(r) = radius of cylinder![](data:image/png;base64,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)
![](data:image/png;base64,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)
⇒ surface area of tank = surface area of cylinder + 2(surface
Area of hemisphere)
= 2Ï€rh + 2(2Ï€r2)
= 2Ï€r(h + 2r)
![](data:image/png;base64,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)
![](data:image/png;base64,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)
= 41.36 m2
⇒ ∴ the cost of painting it on the outside at rate of D20 per m2
= 41.36 × 20
= D827.20
Question 6.A sphere, a cylinder and a cone have the same radius and same height. Find the ratio of their volumes.
[Hint: Diameter of the sphere is equal to the heights of the cylinder and the cone.]
Answer:![](data:image/png;base64,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)
Given that, a sphere, a cylinder and a cone have the same radius(say r) and same height(say h).
⇒ ∵ they have same height,
⇒ diameter of sphere = height of cylinder
⇒ radius of sphere![](data:image/png;base64,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)
⇒ h = 2r
Ratio of their volumes = vol. of sphere : vol. of cylinder : vol. of cone
![](data:image/png;base64,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)
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![](data:image/png;base64,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)
![](data:image/png;base64,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)
Multiplying the whole by 3, we get-
⇒ Ratio of their volumes = 4:6:2
Question 7.A hemisphere is cut out from one face of a cubical wooden block such that the diameter of the hemisphere is equal to the length of the cube. Determine the surface area of the remaining solid.
Answer:![](data:image/png;base64,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)
Give that, A hemisphere is cut out from one face of a cubical wooden block such that the diameter of the hemisphere is equal to the length of the cube.
Now, let the side of cube be ‘l’
⇒ radius of hemisphere(r) ![](data:image/png;base64,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)
⇒ surface area of remaining solid = surface area of cube- surface area of hemisphere
= 6l2 - 2Ï€r2
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)
=
sq units
Question 8.A wooden article was made by scooping out a hemisphere from each end of a solid cylinder, as shown in the figure. If the height of the cylinder is 10 cm. and its radius of the base is of 3.5 cm, find the total surface area of the article.
![](data:image/png;base64,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)
Answer:Given that, radius(r) of base is 3.5 cm and height(h) of cylinder is 10 cm.
⇒ the total surface area of the article = surface area of cylinder +
2(Surface area of hemisphere)
= 2Ï€rh + 2(2Ï€r2)
= 2Ï€r(h + 2r)
![](data:image/png;base64,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)
![](data:image/png;base64,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)
= 374 cm2
A toy is in the form of a cone mounted on a hemisphere. The diameter of the base and the height of the cone are 6 cm and 4 cm respectively. Determine the surface area of the toy.
(use π = 3.14)
Answer:
Given that, diameter(d) is 6 cm and height(h) is 4 cm.
⇒ radius(r)
Also, slant height(l) = √ r2 + h2
⇒ l = √ 32 + 42
⇒ l = √ 9 + 16
⇒ l = √ 25
⇒ l = 5
And, surface area of the toy = surface area of the cone + surface area of hemisphere
⇒ Surface area of toy = Ï€rl + 2Ï€r2
= πr(l + 2r)
= 103.71 cm2
Question 2.
A solid is in the form of a right circular cylinder with a hemisphere one end and a cone at the other end. The radius of the common base is 8 cm. and the heights of the cylindrical and conical portion are 10 cm and 6 cm respectively. Find the total surface area of the solid.
(use π = 3.14)
Answer:
The figure is shown below:
Given that, radius(r) is 8 cm, height of cylinder(H) is 10 cm and height of cone(h) is 6cm.
Also, l = √ r2 + h2
⇒ l = √ 82 + 62
⇒ l = √ 64 + 36
⇒ l = √ 100
⇒ l = 10
Now, total surface area of solid = surface area of cone + surface area of cylinder + surface area of sphere
⇒ total surface area of solid = Ï€rl + 2Ï€rH + 2Ï€r2 = Ï€r(l + 2H + 2r)
= 3.14 × 8(10 + 2 × 10 + 2 × 8)
= 3.14 × 8 × 46
= 1155.55 cm2
Question 3.
A medicine capsule is in the shape of a cylinder with two hemispheres stuck to each of its ends. The length of the capsule is 14 mm. and the width is 5 mm. Find its surface area.
Answer:
Given that, the length of the capsule is 14 mm and the width is 5 mm.
⇒ Radius(r)
⇒ height of cylinder(h) = total height-2 × radius of hemisphere
= 14-5 = 9mm
⇒ surface area of capsule = surface area of cylinder + 2 × surface
Area of one hemisphere
= 2Ï€rh + 2 × 2Ï€r2
= 2Ï€r(h + 2r)
= 220 mm2
Question 4.
Two cubes each of volume 64cm2 are joined end to end together. Find the surface area of the resulting cuboid.
Answer:
Given that, volume of cube is 64 cm3.
Also, volume of cube = a3 (where, a is side)
⇒ a3 = 64
⇒a = 4
⇒ Length(l) of cuboid = 2 × a = 8 cm,
Breadth(b) = height(h) = a = 4 cm
⇒ the total surface area of the resulting cuboid = 2(lb + bh + hl)
⇒ 2 × (8 × 4 + 4 × 4 + 4 × 8)
= 2 × 80
= 160 cm2
Question 5.
A storage tank consists of a circular cylinder with a hemisphere stuck on either end. If the external diameter of the cylinder be 1.4 m. and its length be 8 m. find the cost of painting it on the outside at rate of D20 per m2.
Answer:
The figure is shown below:
Given that, diameter(d) of cylinder is 1.4 m and length(h) is 8 m.
⇒ the radius of sphere(r) = radius of cylinder
⇒ surface area of tank = surface area of cylinder + 2(surface
Area of hemisphere)
= 2Ï€rh + 2(2Ï€r2)
= 2Ï€r(h + 2r)
= 41.36 m2
⇒ ∴ the cost of painting it on the outside at rate of D20 per m2
= 41.36 × 20
= D827.20
Question 6.
A sphere, a cylinder and a cone have the same radius and same height. Find the ratio of their volumes.
[Hint: Diameter of the sphere is equal to the heights of the cylinder and the cone.]
Answer:
Given that, a sphere, a cylinder and a cone have the same radius(say r) and same height(say h).
⇒ ∵ they have same height,
⇒ diameter of sphere = height of cylinder
⇒ radius of sphere
⇒ h = 2r
Ratio of their volumes = vol. of sphere : vol. of cylinder : vol. of cone
Multiplying the whole by 3, we get-
⇒ Ratio of their volumes = 4:6:2
Question 7.
A hemisphere is cut out from one face of a cubical wooden block such that the diameter of the hemisphere is equal to the length of the cube. Determine the surface area of the remaining solid.
Answer:
Give that, A hemisphere is cut out from one face of a cubical wooden block such that the diameter of the hemisphere is equal to the length of the cube.
Now, let the side of cube be ‘l’
⇒ radius of hemisphere(r)
⇒ surface area of remaining solid = surface area of cube- surface area of hemisphere
= 6l2 - 2Ï€r2
=
Question 8.
A wooden article was made by scooping out a hemisphere from each end of a solid cylinder, as shown in the figure. If the height of the cylinder is 10 cm. and its radius of the base is of 3.5 cm, find the total surface area of the article.
Answer:
Given that, radius(r) of base is 3.5 cm and height(h) of cylinder is 10 cm.
⇒ the total surface area of the article = surface area of cylinder +
2(Surface area of hemisphere)
= 2Ï€rh + 2(2Ï€r2)
= 2Ï€r(h + 2r)
= 374 cm2
Exercise 10.3
Question 1.An iron pillar consists of a cylindrical portion of 2.8 m. height and 20 cm. in diameter and a cone of 42 cm. height surmounting it. Find the weight of the pillar if 1cm3 of iron weighs 7.5 g.
Answer:![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAGEAAACTCAAAAAC7NyhtAAAABGdBTUEAALGPC/xhBQAAAAFzUkdCAK7OHOkAAA62SURBVHja7ZpbcJVVlsfpx5m36anqmreZqunqmXmZl+kpx3a6tfE20s7Yity0u20vU93VY2tLKEG5SAREgSSAdJAgCVeVWwQUyAUkEBVRCTHIJQESkgAJuSfnfN/ea/3XWt885MRcOCcXcqiZB9ZTvq9O6vety95r7bX2hGhUokLWvuOuH5cGII3GJBNG9zNjoZrcFz6aeM2FcmsIauF77y05+Mn/yK3SQbkmuyL7YHzO57g1hCjifcvDtw/HTr7G0S0hqF57ppZWlnDrmk/t1liJNmd5WnWQ40X5XbfGSvJAjDn7oKF2cW3aCWZmOvOIQLI/VvEHlptZZOkjmCjB1/3xctwhuzgu7tTrF1iNNW0EZQ7ZrdrlOnyYVRwKue0rYgpx6SOIsm/NOUIBI/ugMvzlORUixOkjgJQqljQJlFftVSHCjnUdGloadQD1ZB8j71iy95uBw84XGuKe0uhpL90vXfVqxFnFLGCzk/O6kT4dIlHOKO/dT1cesEgtwsXXa9jSqIN8uaR6IEEFW7Y6SaMfOrJ2YhCBfVFuN9IYS+WLu0QHEIx8xwun0hhLzesOCwYSRAJfsiQtVjKLxFC1tEUTkZMggJ0+Wx+Z2TgJKmJB2JO3Lx7wID+AWU/OEPFOZVwEYWaOn1x2IYwP0sGE4VsX7eKQWcargzjZ/5YPiAatB1H2KJvZifhocvYwBASe2a3dJuK8DNJBWONdmz4QQjA+HVjhzjwL54QHeVrAwnTsnWs+wPgIAPSZLxjCOjBaVUkN1LruiHfjIxggRTPVzPriMmGlSKMoiqjk3bZgfNFqIsH06oFvEp5OqNiwttyNz9ORj7/9EVkKgqmu28B+nDp0Lz5qSEUIvf3pnI2PENvxbsxSWcnAfsvqm7aSqUWRNuSVD94XBhNA/HiVmY5QO01IXqWyGgeHNjSrpLSSMEvlZCEWjzETRISFut4p5jCllSJh8sFre53gJggqwho/vKrZU8pYikzZadVLAGHshEjVe3yYAybhlFYSlvD8gnpHw5+KkhNA7OsWlnsll9IPEBbqzt8ygpFSWQmMsufgGV5Te1oM/pusWpFhi6cJydcaXPcv26OhaXKQHyKLosja1h5hlTET1DHtzL4xfw0mRFEURVSZ2Spjt5J5aX62RUdBMLq+bt/w2To5gXlTfhIHJtEBvmxJvdxEtJ5dfiEclQ7MXXM+tpsglKyKJ4nBJDoo5MorF8ZAgHlh2NU/Xo2ppSIoAraIHLF5AzD7a4kr+xQxO2HouVkUzPtXtgvHUxBUERxtlZ7j+/Y2qmPlS/ObzQMyKh00piDyfzgNAqcgmIRld5+gT5auWfUiiOG6covYCY2OAIDZn15Qi1BTrQf1RVseOR6UHnX+H0JiJpzIrhPh0RHMAvEua1McPsl5NlEvHVx/7Xefuq4YH5itAEkYf7VMCTI6P1gMdGJBYxiCk1rJ1Czj/mn/NHERVWas6HSAusBXzWxHqkp8KMGrdH+w3kyT/cPKA6oQbT5f/WThlYsbytpJzCJVxczPxHR0BDKueqU1RWivKhZlUvHy/AlZ/5vs1SstsRe3TRTwKKPVd27dneqsvHo/GYUApOwaV+VvKCgIErnC5+aPMpZC4rqslFXQyiLPTI5BXl3Iwn3VFEvlf/vRERidu/I1FaF0ddjD0Ch0DnEmg0nfOq1dfGZ0a5qpYcFZaGQaRWbRkFLIpnUEjlVFXCAEYTEzi8xUac87seRdpwlD65jtWWAoOZiIqMigCJna4gmqqspKogwShTIIfCHrFCmJ6kg66P2NHiyAJxAYvZ+ZEHm81QOJNwJmISYWhUMQK/ygReMOIxHsqWPsKe6YVRQg4ODd/fKzH951z30Tf9b78MsSSOh96D3UAajIuSRQuSFmh+aHf+70TqFxbYMnXvyX33tM+kUf6yTntPfh2vTvTaiOzBOEAAlp6+YrydbpEELlb2NxH+v6+lDmEw9PeviRjaHpACvh0c5ItfeNkmd9etKkX/zXI3ml5zs74Y/mtoPcsFYy655brbjy2fqsZUdChbCDDfLD9OtRnxvUOeGQINA9WSvXnaonfbPYyY3bXz+BDTi8tr1zb9660maL1LS3yB/4CVNbTPoMYRZJLz/ScyUr8kpbzj7dxZqaYC5AU96SZWtWljWn7BI+1mHJ9mhlunQ4a9WKuW+zpSaQd6icOm/njyGp658UBPNMvnV5xlM/AqUmqLPa3/7NT6ZWCZyNkRCxeK9dK//lL37XkdrTho7f37f6SncMSmPWgUUJvqvnqb+6cefv9/S1V3KrABJVGrMOpsbEqh1vTn49sMGNp37CM09ABEIKkTEToihSNQd/7JXzIQYt7O8I8h/XPTyBRHjMOvQd8R1cySJPfuC5awChgRyYCAj15ggeTK5wEYmEyQjRz3PKG8l7FmbcFEE8+Or+F+bz4LNjfyw9/Oma1R+1cSBebs5Kpn7NivWrFnqBUjLCL3raTuZOr4HzuEk/bHz0wImeotcxeP7Rb6UHAhXXfscPvn/nSSM1i7NaFLVHotrXWOCnLkeayGImoiomChhb7OsffP+vlzR1M5VkaqpofSBUNdUQNU/d8+6J4599+XVD0B4Lu0OId4kd+9FOI07s5EFPTxDvajzx1Zdln796z69FyIdGvjRTB2+YQwnsfDzO2+YtnPfq/OyCgk0bC47WXrx46VJdXV1d3aWHTtfV1tb1yrGCjRvf3bx6wbx58zKPhAgdUaCE4oXDE4Q8hyHBg0Ou3FO4c8+e/Ozs7KycnJycnJzsO5asyMnJ7v17w549H+7dU8WOCOTYEREEdHAEgoZxzwxhMECeYszXzp47f/Z8dU1NTc35SV+eOX/+XE1NTU1NdRNABPI+9CwMAjOxUslIVlInzGARhpAnRwqGSiKXTrkOlr5aQxQQ7znwDBGA4BVcNIIOZr0Dvr5Kywa2KqNocrt+F8qJn1gk36VyNbPSEQgjdNRG2JeiKIoOZd4m/N8RLK0EUxPtHaWAxSIzgVcVUVFBURpiSQMAUPIuHqqIqQgxOe/A5PhAOgiOTVUB9aK9AlXPFLaLQ2k6/GASzPzHv8+M96ha16wf/qgk0naVGCk6hEvSQPAB7dgutmWL+NDn54v7Q1Vj++n62KXaVnFanBY/0OdfObe+kEWDbQVXr8w5M2t2RmbugteaGShJB4GZfeWBgkvMkCOLcnLevPpyZrzg5WuzKrxJWnRgz4ez8uo9iw92r62snFs9+xO/bQPN/cqZpMPTxvLFmgvt5IKdTfGCrYwXv5l1SLetl7mVqmmJJbBuu+POO+8/iFnHrS7jrp++H87Zr7s286KzQpYOghKCtq7u9njYw97Hu7tc2MXU5rXdqU9LLInAizCpKJmwMtQzmMCslBY/RJGwWaIpob2p0CIzU4tMS2/nh9uE24TbhPQSxCJx5sGqkRlJZAPlsQ4QEnW2MKJYZGYRa4jvyCMRTAUeITlpA0CNlac2/1u/3PF3//rTf78r8XBv/rdnvKqwkpB09hlgJIKGCgEFHRV7CrcXFr71zG9ytF/ssU4JkCiSOlc/+eTm3bsKC3de6OkIlBOd2REJTjz11G5cmvPOu++sXXc8AA8gyOR2xClBAAPb8/Ly8tZnvbHvHGtidjkSAcw9p96bv+/kZWJieFg4oBvKv2phz4kHQGLMEJGLFfnzdp8mjEoHcdeXZBZ0QEnigLAIBjiap7UzmPvOcUYQmHmWsGvpwnWXR9DBHowpxbbPnbvpW6dRFJmLzMxEB8VSJ3nq74+yau9PxEvV2oVzKm24HMcPB9y+b9eXx1go1YRDprUqJ1rrg8QCpa5vvlh2eLi61R4Mjy/c2aKeOWWfT6c0Gzm5AQABwZE25L7xRepaA/efmf15iyf1jGE6WGF4owaKOKuBhXo+Wp2bkmB3/6RHvJgyp9w8bMrXl+vq6i8PlfqLdfW1dfV19fWn52csSEmY+BKDYWSpx/6ybPqUx6fdKFOnPD5l+hPTps2YOnXqvS+nIuhDPcRqZipJWvzGaqoiphBOnNhIREVVlKGiKhFCL1yUKTqo69zvh/9sA6e82ysMhoeoqRALixCIHYeAZ/bW25t2TFyUSVCfrEeGB3sIKW/PmQHcu2GIQFSEIfAS+Ljrm8wogpC5ZK6DcjIdwqO/J0kZRaJ8cqtDNOW+J74yOPWkCFjbTFy8b5io4ljrV1SIkiTr6FrPpMbOlPdTDPf/7RK1X5/tOr2oIWxuaurQns5r3XqluSOkhNUBi7e8URrERM0l6+hK7ZT1N96gSHyMOHdosfczOvXKmxe/fe6hh3bZhqefXn7okfmN4MQXm0nnn587bwafVAeFBvs/+NZBRE1EVKEixn1WipUsBSa3S/2iupcOqxZi3aym52eHGzZDWcxURK5fXruXRdQiJCUoU+dHiz4uJQJApOQ8kfi+iSwXLxWe3CENi+tmHoZwuPEDef6UL9gEZVET6T6Rt6BYbrwtMEAHCeNdTXlvrihoduSInXjnKTHtMEely0UmX5fLi+pmfsLYyZvf5xerwvzNECLVq6uy3yhuCHBjR7s/P4CpJ+TujrdXz/vT8e4Op9476ruEZbJsxoN/vnJg5stzNneUz8vIWCPv7+JZ1cGWHRrr7N49a86a9xthjl1qgjDHPQsYsZPlyzNm7i7/olFEEgTQV2VlFT16tPx4q7jK8qMd1NxEFTGu2Pdp3qyMgs8qoOohGIZAThmAicGjqbZh69LlK7JzLiemzsbCRCxee5eb8zH2VJyblfXW0gONV7pY1MxjyK2woVbq3Y4Sdz4UPjyxY8fzM6bNmD6jtLdRamYwVfGMtb+a+sST05ft/PCUd2QWSe+pTnTEqeWgq0mh6rc15745U/PafT8fIBMn3Xv3+qrq6urT11vGeSdROAyE2IkPaWBN0+2VuxB40XHeAjZmNrAnQjgwcwIOjqBErOO836pgEeGAZVDyB0ICWAmjuSo9vJUgMGUSBQ8oapRJlFlFRqPC8DqImpmqmg6cIZtoFPUOSnR8hDTJbcL/D8L/Ars/zBK9cvTiAAAAAElFTkSuQmCC)
Given that, height of cylinder(H) = 2.8m = 280 cm, diameter(d) is 20 cm and height of cone(h) is 42 cm.
⇒ radius(r)![](data:image/png;base64,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)
⇒ vol. of pole = vol. of cylinder + vol. of cone
![](data:image/png;base64,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)
![](data:image/png;base64,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)
![](data:image/png;base64,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)
![](data:image/png;base64,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)
= 92400 cm3
If 1 cm3 of iron weighs 7.5 g.
⇒ the weight of the pillar = 92400 × 7.5
= 693,000 g
= 693 kg (∵ 1kg = 1000g)
Question 2.A toy is made in the form of hemisphere surmounted by a right cone whose circular base is joined with the plane surface of the hemisphere. The radius of the base of the cone is 7 cm. and its volume is
of the hemisphere. Calculate the height of the cone and the surface area of the toy correct to 2 places of decimal
![](data:image/png;base64,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)
Answer:Given that, The radius of the base(r) of the cone is 7 cm and its volume is
of the hemisphere.
∵ circular base of cone is joined with the plane surface of the hemisphere,
⇒ radius of hemisphere = radius of base of cone = 7 cm
Also,vol. of cone =
vol. of hemisphere
![](data:image/png;base64,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)
⇒ h = 3r
⇒h = 3 × 7
⇒h = 21 cm
Also, slant height(l) = √ r2 + h2
⇒ l = √ 72 + 212
⇒ l = √ 490
⇒ l = 22.13
⇒ Slant Height of cone (l) = 22.13 cm
Now, surface area of toy = surface area of cone + surface area of hemisphere
⇒ surface area of toy = Ï€rl + 2Ï€r2
= πr(l + 2r)
![](data:image/png;base64,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)
![](data:image/png;base64,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)
= 794.86 cm2
Question 3.Find the volume of the largest right circular cone that can be cut out of a cube whose edge is 7 cm.
Answer:The figure is shown below:
![](data:image/png;base64,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)
![](data:image/png;base64,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)
Give that, edge of cube is 7 cm
⇒ largest possible height of cone(h) is 7 cm and diameter of base(d) is 7 cm
⇒ radius(r) = ![](data:image/png;base64,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)
⇒ the volume of the largest right circular cone that can be cut out of a cube whose edge is 7 cm![](data:image/png;base64,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)
![](data:image/png;base64,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)
= 89.83 cm2
Question 4.A cylindrical tub of radius 5 cm and length 9.8 cm is full of water. A solid in the form of right circular cone mounted on a hemisphere is immersed into the tub. The radius of the hemisphere is 3.5 cm and height of cone outside the hemisphere is 5 cm. Find the volume of water left in the tub ![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAIkAAAA7CAMAAAB4+FmFAAAAAXNSR0ICQMB9xQAAAadQTFRFgYGBAAAAAAAAiIhmZoiId3dmZnd3ZmZVf39dXX9/gG5ubm6Af39dXX9/d3ddXXd3VXd3f39MTH9/f25ZWW5/e2pVVWp7VWp3f25Ibm5ZSG5/WVl/e2pEampVVWpqRGp7e2pEampVVWpqf1lISFl/f243N25/cVtISFtxbltISFtugF0zM12AgFszM1uAf1kzM1l/f18oKF9/bls1NVtubls1NVtubFk1NVlsW0hISEhbbkg1NV1dNUhubkYzM0ZsW0g1NUhbbkgdWUgzHUhubEYdHUZsbEYdHUZsSDNIRkYzHUhbW0gdWzMzMzNbHEhaSDQ0NDRIWzMdHTNbWjMdHTNaWjIdHTJaNDQ0SDQeHjRIRzMeWzMAADNbWjMAADNaWjIAADJaSR0dHR1JSB0dMx0zHR1IADNINB0dHR00SR0ASB0AAB1IMgAySBwAABxIMx0AAB0zMx0AMh0AAB0yMgAdHQAyAB4eHh4AHR0AMwAAAAAzKQYGMwAABgYpAAAzMwAAAAAzHQALCwAdHQAAAAAdHQAAAAAdHQAAAAAdAAAAAAAAAAAAyf5AtwAAAIx0Uk5TAAECDAwNDQ4XFxgYGRkaGhshISUlJiYnMTExMTIyMjIzMzM+Pj8/SUlKSktLTExNTVFRV1dYWFlZYmJjY2NkZXFxcnJyc3N0dHx+fn9/f4CKioyMjY2OjpiZmZugoKGhoqKoqKmpqa62trq7u7u8vMjIycrKysrX2Nnb29zc3Nzd3eTk6urr6+zs/f6WoAL/AAADjElEQVR42u2Z+VsSQRjHZ3YW7VjKwnIjy+4o5Ciz+zQX7C7QygJMM7MwrMQOzcJC1Nn5o3v2gtldFlR6ZvXJ9wd9AGE+zvf7HjMAsBkbISBcJ+vBU5d5liDo0unqKJ7EOdYidCWbqoH0dzLShKvsRHDAviuwv5cNx4G732OVhz0xG0rkNRuPBL9+IxQJGolatRn1szJHiCYB4pjFKpE0cIcEpMybgnJht0hCkyZbiF+8bpEI036XxLGSWOTJhN0jCQ3RNmGXOXYScYwyivDB6x6JafH1Q2LaINYkJmvUJ6HbVmPBRciw6cMcSCBXDvqvPbeX1p5dyodVlipijHFvfZKQjDEmyg+ZWhplZbJmkj0fMc631RiYaJIzP7caJBM8EAqTPEBZ09LSmknan/DA93neOSW2/DhbjeSoH2gkQDz2T0jQHWW7xRriOpBs4w0StN3wDTRIDPNAWnhQNlatjSl1rozEnDsaiebUlxgvPoIaiTAnq1bzDGKc31u2wRTRooYAXCa9Qp84kaDcfCu4r2yHQuK5GVCe3DEeAL65+Z06aw5jGWNZxrNeh+SDh6feNjVKkp3gYUSpRBIJex5r78j0cRwXN8pT8B4vDgCUM6pVDy6HnqroPZbJs6bGSACAzd0ljeTWmw59n2R1nTTdTGtPWqirSPoaJIEXSsnrGslzeRhqr8as5TsGhELt1BJLqos4KlZJ8nTRr/UJiYRTJKq9qs0TlRIcj1GDl0ORzqgkmIrVkYhLQ3rHkpb9guZSoaD+2vGw3AlyYSBMd+hodp9otBN8Q+qEFHkjOgkQS6o+KZJv47h4WY7Ish8Ihb7mB16HrqPS9tb2idFhTSTwUCHfAg15W3zjZHjfwVfkBgRxcpEDSlkhRJ411hWXfnkByhJSvWT45vJHOE8iWSeLJT0XaRKUpTLjSnHhmjCzcFV5Li3MYLVo+EYwflF+gzCj/LvB4qfW6usMYozfBUAdkh5dy0q1dyEc+s5/RGJvly6RCAVbu3SJJKSVGjnt+p4kArZi5g6JsN9ev0wkx//sZpouEl1xd/0+4dIZ0HoMNy3O9IRubXPmR6moa+IAKe14h8FWHMvdje0GkJ04ltstlI26JU7EMkMxlKemOMpdcQcrknbT1NRuuxsPMnNKij6Yekbtx9REjPH3TOqkKlUZK1EiyhwFdierjfwocR6uCxAAwEnW374FwGZsmPgLCd73hKuX7HUAAAAASUVORK5CYII=)
Answer:![](data:image/png;base64,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)
Given that, radius of cylinder(r) is 5 cm and height(h) is 9.8 cm. Also, radius of hemisphere(R) is 3.5 cm and height(H) of cone outside the hemisphere is 5 cm.
⇒ vol. of solid = vol. of hemisphere + vol. of cone
![](data:image/png;base64,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)
![](data:image/png;base64,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)
= 154 cm3
⇒ vol. of tub = Ï€r2h
![](data:image/png;base64,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)
= 770 cm3
⇒ the volume of water left in the tub = vol.of tub-vol. of solid
= 770-154
= 616 cm3
Question 5.In the adjacent figure, the height of a solid cylinder is 10 cm and diameter is 7 cm. Two equal conical holes of radius 3 cm and height 4 cm are cut off as shown the figure. Find the volume of the remaining solid.
![](data:image/png;base64,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)
Answer:Given that, height of cylinder is 10 cm and diameter is 7 cm.Also, radius of cone is 3 cm and height is 4 cm.
⇒ radius of cylinder![](data:image/png;base64,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)
⇒ the volume of the remaining solid = vol. of cylinder-2(vol.
Of cone)
![](data:image/png;base64,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)
![](data:image/png;base64,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)
![](data:image/png;base64,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)
= 309.57 cm3
Question 6.Spherical Marbles of diameter 1.4 cm are dropped into a cylindrical beaker of diameter 7 cm., which contains some water. Find the number of marbles that should be dropped in to the beaker, so that water level rises by 5.6 cm.
Answer:![](data:image/png;base64,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)
Given that, diameter(d) of sphere is 1.4 cm and diameter(D) of cylindrical beaker is 7 cm and height(h) required is 5.6 cm.
⇒ vol. of one spherical marble![](data:image/png;base64,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)
(∵
)
= 1.437 cm3
⇒ vol.of water reqired(cylindrical) = Ï€R2h
(∵
)
= 215.7 cm3
∴ the number of marbles that should be dropped in to the beaker, so that water level rises by 5.6 cm![](data:image/png;base64,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)
![](data:image/png;base64,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)
= 150
Question 7.A pen stand is made of wood in the shape of cuboid with three conical depressions to hold the pens. The dimensions of the cuboid are 15 cm by 10 cm by 3.5 cm. The radius of each of the depression is 0.5 cm and the depth is 1.4 cm. Find the volume of wood in the entire stand.
![](data:image/png;base64,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)
Answer:Given that, the dimensions of the cuboid are l = 15 cm by b = 10 cm by h = 3.5 cm and the radius(r) of each of the depression is 0.5 cm and the depth(h) is 1.4 cm.
⇒volume of wood in entire stand = vol.of cuboid-3(vol. of cones)
![](data:image/png;base64,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)
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= 525-1.1
= 523.9 cm3
An iron pillar consists of a cylindrical portion of 2.8 m. height and 20 cm. in diameter and a cone of 42 cm. height surmounting it. Find the weight of the pillar if 1cm3 of iron weighs 7.5 g.
Answer:
Given that, height of cylinder(H) = 2.8m = 280 cm, diameter(d) is 20 cm and height of cone(h) is 42 cm.
⇒ radius(r)
⇒ vol. of pole = vol. of cylinder + vol. of cone
= 92400 cm3
If 1 cm3 of iron weighs 7.5 g.
⇒ the weight of the pillar = 92400 × 7.5
= 693,000 g
= 693 kg (∵ 1kg = 1000g)
Question 2.
A toy is made in the form of hemisphere surmounted by a right cone whose circular base is joined with the plane surface of the hemisphere. The radius of the base of the cone is 7 cm. and its volume is of the hemisphere. Calculate the height of the cone and the surface area of the toy correct to 2 places of decimal
Answer:
Given that, The radius of the base(r) of the cone is 7 cm and its volume is of the hemisphere.
∵ circular base of cone is joined with the plane surface of the hemisphere,
⇒ radius of hemisphere = radius of base of cone = 7 cm
Also,vol. of cone = vol. of hemisphere
⇒ h = 3r
⇒h = 3 × 7
⇒h = 21 cm
Also, slant height(l) = √ r2 + h2
⇒ l = √ 72 + 212
⇒ l = √ 490
⇒ l = 22.13
⇒ Slant Height of cone (l) = 22.13 cm
Now, surface area of toy = surface area of cone + surface area of hemisphere
⇒ surface area of toy = Ï€rl + 2Ï€r2
= πr(l + 2r)
= 794.86 cm2
Question 3.
Find the volume of the largest right circular cone that can be cut out of a cube whose edge is 7 cm.
Answer:
The figure is shown below:
Give that, edge of cube is 7 cm
⇒ largest possible height of cone(h) is 7 cm and diameter of base(d) is 7 cm
⇒ radius(r) =
⇒ the volume of the largest right circular cone that can be cut out of a cube whose edge is 7 cm
= 89.83 cm2
Question 4.
A cylindrical tub of radius 5 cm and length 9.8 cm is full of water. A solid in the form of right circular cone mounted on a hemisphere is immersed into the tub. The radius of the hemisphere is 3.5 cm and height of cone outside the hemisphere is 5 cm. Find the volume of water left in the tub
Answer:
Given that, radius of cylinder(r) is 5 cm and height(h) is 9.8 cm. Also, radius of hemisphere(R) is 3.5 cm and height(H) of cone outside the hemisphere is 5 cm.
⇒ vol. of solid = vol. of hemisphere + vol. of cone
= 154 cm3
⇒ vol. of tub = Ï€r2h
= 770 cm3
⇒ the volume of water left in the tub = vol.of tub-vol. of solid
= 770-154
= 616 cm3
Question 5.
In the adjacent figure, the height of a solid cylinder is 10 cm and diameter is 7 cm. Two equal conical holes of radius 3 cm and height 4 cm are cut off as shown the figure. Find the volume of the remaining solid.
Answer:
Given that, height of cylinder is 10 cm and diameter is 7 cm.Also, radius of cone is 3 cm and height is 4 cm.
⇒ radius of cylinder
⇒ the volume of the remaining solid = vol. of cylinder-2(vol.
Of cone)
= 309.57 cm3
Question 6.
Spherical Marbles of diameter 1.4 cm are dropped into a cylindrical beaker of diameter 7 cm., which contains some water. Find the number of marbles that should be dropped in to the beaker, so that water level rises by 5.6 cm.
Answer:
Given that, diameter(d) of sphere is 1.4 cm and diameter(D) of cylindrical beaker is 7 cm and height(h) required is 5.6 cm.
⇒ vol. of one spherical marble
(∵
)
= 1.437 cm3
⇒ vol.of water reqired(cylindrical) = Ï€R2h
(∵
)
= 215.7 cm3
∴ the number of marbles that should be dropped in to the beaker, so that water level rises by 5.6 cm
= 150
Question 7.
A pen stand is made of wood in the shape of cuboid with three conical depressions to hold the pens. The dimensions of the cuboid are 15 cm by 10 cm by 3.5 cm. The radius of each of the depression is 0.5 cm and the depth is 1.4 cm. Find the volume of wood in the entire stand.
Answer:
Given that, the dimensions of the cuboid are l = 15 cm by b = 10 cm by h = 3.5 cm and the radius(r) of each of the depression is 0.5 cm and the depth(h) is 1.4 cm.
⇒volume of wood in entire stand = vol.of cuboid-3(vol. of cones)
= 525-1.1
= 523.9 cm3
Exercise 10.4
Question 1.A metallic sphere of radius 4.2 cm. is melted and recast into the shape of a cylinder of radius 6 cm. Find the height of the cylinder.
Answer:![](data:image/png;base64,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)
Given that, radius of sphere(r) is 4.2 cm and radius of cylinder(R) is 6 cm.
Let the height of cylinder be h.
∵ the sphere is melted and recast into cylinder
⇒ vol. of sphere = vol. of cylinder
![](data:image/png;base64,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)
![](data:image/png;base64,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)
![](data:image/png;base64,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)
⇒ h = 2.74 cm
Question 2.Three metallic spheres of radii 6 cm., 8 cm. and 10 cm. respectively are melted together to form a single solid sphere. Find the radius of the resulting sphere.
Answer:![](data:image/png;base64,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)
Given that, radii of spheres melted are 6 cm, 8 cm and 10 cm.
Let the radius of solid sphere be R
Also, volume of sphere![](data:image/png;base64,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)
∵ these are melted to make a single sphere
⇒ vol. of solid sphere = sum of vol. of all melted sphere
![](data:image/png;base64,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)
⇒ R3 = 1728
⇒ R = 12 cm
Question 3.A 20 m deep well of diameter 7 m. is dug and the earth got by digging is evenly spread out to form a rectangular platform of base 22m × 14m. Find the height of the platform.
Answer:![](data:image/png;base64,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)
Given that, height of cylindrical well(H) is 20 m and diameter(d) is 7 m. And length(l) and breadth(b) of rectangular platform are 22m and 14 m respectively.
Now, let the height of platform be h.
⇒ radius of cylinder(r)![](data:image/png;base64,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)
⇒ vol. Of well = vol. of platform
⇒ Ï€r2H = lbh
![](data:image/png;base64,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)
![](data:image/png;base64,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)
⇒ h = 2.5 cm
Question 4.A well of diameter 14 m. is dug 15 m. deep. The earth taken out of it has been spread evenly to form circular embankment of width 7 m. Find the height of the embankment.
Answer:![](data:image/png;base64,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)
Given that, height of cylindrical well(h) is 15 m and diameter(d) is 14 m. And width of circular embankment is 7 m.
⇒ radius(r) of well ![](data:image/png;base64,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)
⇒ outer radius of Embankment(R1) = (7 + 7) = 14 m
⇒ inner radius(r1) = 7 m
Let the height of the embankment be H.
⇒ vol. of well = vol. of embankment
⇒ Ï€r2h = Ï€(R12-r12)H
![](data:image/png;base64,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)
![](data:image/png;base64,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)
⇒ H = 5 cm
Question 5.A container shaped like a right circular cylinder having diameter 12 cm. and height 15 cm. is full of ice cream. The ice-cream is to be filled into cones of height 12 cm. and diameter 6 cm., having a hemispherical shape on the top. Find the number of such cones which can be filled with ice cream.
Answer:![](data:image/png;base64,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)
Given that, diameter(d) of cylindrical container is 12 cm and height(h) is 15 cm. and, diameter(D) of cone is 6cm and height(H) is 12 cm
We know that, ![](data:image/png;base64,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)
⇒ radius of cylinder(r)![](data:image/png;base64,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)
And, radius of cone(R)![](data:image/png;base64,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)
⇒ volume of container = Ï€r2h
![](data:image/png;base64,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)
= 540Ï€
⇒ vol. of 1 such cone = vol.of cone + vol. of hemisphere
![](data:image/png;base64,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)
![](data:image/png;base64,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)
= 54Ï€
⇒ the number of such cones which can be filled with ice cream
![](data:image/png;base64,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)
![](data:image/png;base64,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)
= 10
Question 6.How many silver coins, 1.75 cm. in diameter and thickness 2 mm, need to be melted to form a cuboid of dimensions 5.5cm × 10cm × 3.5cm.?
Answer:![](data:image/png;base64,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)
Given, that dimensions of cuboid formed is 5.5 × 10 × 3.5 and the diameter(d) of cylindrical coin is 1.75 cm and height(h) is 2mm = 0.2cm.
⇒ l = 5.5, b = 10 and h = 3.5
⇒ radius(r) of coin
(∵
)
⇒ vol. of silver coin = Ï€r2h
= 3.14 × 0.878 × 0.875 × 0.2
= 0.48
⇒ vol. of cuboid = lbh
= 5.5 × 10 × 3.5
= 192.5
⇒ ∴ no. of silver coins![](data:image/png;base64,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)
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAEIAAAApCAMAAAC2uQ9DAAAAAXNSR0IArs4c6QAAAIdQTFRFAAAA///b//+22///tv///9u2/9uQttv/kNv//7Zm27aQ27ZmkLbbZrb/kLaQZrbb25Bm25A6tpA6ZpDbOpDbOpC2tmYAkGY6ZmZmOma2OmaQkDo6AGa2kDoAZjo6OjqQZjoAOjpmOjoAADqQADpmADo6ZgA6ZgAAOgA6OgAAAABmAAA6AAAAdTJn2QAAAAF0Uk5TAEDm2GYAAAGRSURBVHja7ZZtU8IwDIBT5rYWmFipRXEDFHSO5v//Pi9t2Zt3M3zzOPOB27Xpk9dLALgFeZBTt/NduJ4fEE85AAj/dXmTNYiIbgKRHvB8Rx/aLUFY+ra4grQOp4Qoph3Mtrn2yrPaXH5tSUQsmAhS9oigKapjEk7V9YjgRYew7EBaBNizBPGIEdE9zJq3pkvuJEJsEE/3denPRGUu1+J1BWnlJAMRTZpAKEdZbwwXoYM1WyZDnVldMhFRU1NCVLRrDcOLNs5580LWsy8JIKwJROskpFXP07GIDfXvxzqkfhnsopeISHeIuM3hX25TYrV/GWLXC14hfzqQWxOam/v85wxZvCO6NYtQHZPBVMkaj9BuBbBAw0AoetDuHpp/z3QSh7A9Jox6kwO9CWuN6iNKXhyEaHfhPvEIUEiBcNooINpdOPuUITSax8xGHCL8IlNO6iKMfo0FP5AyrvQoxcg7TjrNqEYRaid2SNdI5KvqOxwr4u2zikrF8PptYUN3anxKmK1Ff7hwO8yHZ1CDn5ZR6RscljQneKaR9gAAAABJRU5ErkJggg==)
= 400
Question 7.A vessel is in the form of an inverted cone. Its height is 8 cm. and the radius of its top is 5 cm. It is filled with water up to the rim. When lead shots, each of which is a sphere of radius 0.5 cm are dropped into the vessel,
of the water flows out. Find the number of lead shots dropped into the vessel.
Answer:![](data:image/jpeg;base64,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)
Given that, radius(r) of cone is 5 cm and height(h) is 8 cm.And, radius(R) of spheres is 0.5 cm.
Also, When lead shots are dropped into the vessel,
of the water flows out.
⇒ vol. of water in cone![](data:image/png;base64,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)
![](data:image/png;base64,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)
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAD8AAAApCAMAAAC1DgFrAAAAAXNSR0IArs4c6QAAAHJQTFRFAAAAAAAAAAA6AABmADpmADqQAGa2OgAAOgA6OgBmOjoAOjqQOmaQOma2OpDbZgAAZjoAZpDbZrbbZrb/kDoAkGY6kLbbkNv/tmYAtmY6ttv/tv//25A627Zm27aQ2////7Zm/7aQ/9uQ/9u2//+2///b7CN1HwAAAAF0Uk5TAEDm2GYAAAAJcEhZcwAADsQAAA7EAZUrDhsAAAAZdEVYdFNvZnR3YXJlAE1pY3Jvc29mdCBPZmZpY2V/7TVxAAABOElEQVRIS+1Va0/DMAx0Cmt5jBVGSgMrW9cs//8v7uysC5VGU6UgTYj70J00X3J+KCb6m3DbZ6Vua07OVUo9fgxZNGmj1mTLmw3kerGzesiicjI5Yhr1StRmcNEOWVwvEaIyfPWhxHlnxhl5rEZPYgHbZ/1iF9h73d1vqCtw+hgkwKv4GxjRFL3T7C5Z7zSX8Ow//8Im3W9y+AZOVYOXwCb4bzjtFirfRP4ERi0qO1q/7g5ddwb6Yel9OagR/WovA3oJJvTXYpKXkktgvrPZy8RB+g+73gqcOo1+80PxQ+jfh+jv/Pt+xf98W9d1gvt86NdRkjGTvZHV6QMS1lHS9V4k72cybLWUJZyGQ9k/gml6qLbFLP+8BMbXbcwZHvxYyDf/+1UqSygJWBU15kdWTxJsVSj1dEF+BMFhGrbEjCwsAAAAAElFTkSuQmCC)
⇒ vol. of 1 spherical lead shot![](data:image/png;base64,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)
![](data:image/png;base64,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)
![](data:image/png;base64,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)
⇒
(vol. of water in cone) = n × vol. of 1 lead shot
(where, n is no. of lead shots)
![](data:image/png;base64,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)
![](data:image/png;base64,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)
⇒ n = 100
Question 8.A solid metallic sphere of diameter 28 cm is melted and recast into a number of smaller cones, each of diameter
cm and height 3 cm. Find the number of cones so formed.
Answer:![](data:image/jpeg;base64,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)
Given that, diameter(d) of sphere is 28 cm and diameter(D) of cone is
and height(h) is 3 cm.
⇒ radius(r) of sphere![](data:image/png;base64,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)
And, radius(R) of cone![](data:image/png;base64,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)
⇒vol. of spheres![](data:image/png;base64,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)
![](data:image/png;base64,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)
⇒ vol. of cone![](data:image/png;base64,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)
![](data:image/png;base64,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)
⇒ vol. of sphere = n × vol. of 1 cone
(where, n is no. of cones)
![](data:image/png;base64,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)
![](data:image/png;base64,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)
⇒ n = 672
A metallic sphere of radius 4.2 cm. is melted and recast into the shape of a cylinder of radius 6 cm. Find the height of the cylinder.
Answer:
Given that, radius of sphere(r) is 4.2 cm and radius of cylinder(R) is 6 cm.
Let the height of cylinder be h.
∵ the sphere is melted and recast into cylinder
⇒ vol. of sphere = vol. of cylinder
⇒ h = 2.74 cm
Question 2.
Three metallic spheres of radii 6 cm., 8 cm. and 10 cm. respectively are melted together to form a single solid sphere. Find the radius of the resulting sphere.
Answer:
Given that, radii of spheres melted are 6 cm, 8 cm and 10 cm.
Let the radius of solid sphere be R
Also, volume of sphere
∵ these are melted to make a single sphere
⇒ vol. of solid sphere = sum of vol. of all melted sphere
⇒ R3 = 1728
⇒ R = 12 cm
Question 3.
A 20 m deep well of diameter 7 m. is dug and the earth got by digging is evenly spread out to form a rectangular platform of base 22m × 14m. Find the height of the platform.
Answer:
Given that, height of cylindrical well(H) is 20 m and diameter(d) is 7 m. And length(l) and breadth(b) of rectangular platform are 22m and 14 m respectively.
Now, let the height of platform be h.
⇒ radius of cylinder(r)
⇒ vol. Of well = vol. of platform
⇒ Ï€r2H = lbh
⇒ h = 2.5 cm
Question 4.
A well of diameter 14 m. is dug 15 m. deep. The earth taken out of it has been spread evenly to form circular embankment of width 7 m. Find the height of the embankment.
Answer:
Given that, height of cylindrical well(h) is 15 m and diameter(d) is 14 m. And width of circular embankment is 7 m.
⇒ radius(r) of well
⇒ outer radius of Embankment(R1) = (7 + 7) = 14 m
⇒ inner radius(r1) = 7 m
Let the height of the embankment be H.
⇒ vol. of well = vol. of embankment
⇒ Ï€r2h = Ï€(R12-r12)H
⇒ H = 5 cm
Question 5.
A container shaped like a right circular cylinder having diameter 12 cm. and height 15 cm. is full of ice cream. The ice-cream is to be filled into cones of height 12 cm. and diameter 6 cm., having a hemispherical shape on the top. Find the number of such cones which can be filled with ice cream.
Answer:
Given that, diameter(d) of cylindrical container is 12 cm and height(h) is 15 cm. and, diameter(D) of cone is 6cm and height(H) is 12 cm
We know that,
⇒ radius of cylinder(r)
And, radius of cone(R)
⇒ volume of container = Ï€r2h
= 540Ï€
⇒ vol. of 1 such cone = vol.of cone + vol. of hemisphere
= 54Ï€
⇒ the number of such cones which can be filled with ice cream
= 10
Question 6.
How many silver coins, 1.75 cm. in diameter and thickness 2 mm, need to be melted to form a cuboid of dimensions 5.5cm × 10cm × 3.5cm.?
Answer:
Given, that dimensions of cuboid formed is 5.5 × 10 × 3.5 and the diameter(d) of cylindrical coin is 1.75 cm and height(h) is 2mm = 0.2cm.
⇒ l = 5.5, b = 10 and h = 3.5
⇒ radius(r) of coin (∵
)
⇒ vol. of silver coin = Ï€r2h
= 3.14 × 0.878 × 0.875 × 0.2
= 0.48
⇒ vol. of cuboid = lbh
= 5.5 × 10 × 3.5
= 192.5
⇒ ∴ no. of silver coins
= 400
Question 7.
A vessel is in the form of an inverted cone. Its height is 8 cm. and the radius of its top is 5 cm. It is filled with water up to the rim. When lead shots, each of which is a sphere of radius 0.5 cm are dropped into the vessel, of the water flows out. Find the number of lead shots dropped into the vessel.
Answer:
Given that, radius(r) of cone is 5 cm and height(h) is 8 cm.And, radius(R) of spheres is 0.5 cm.
Also, When lead shots are dropped into the vessel, of the water flows out.
⇒ vol. of water in cone
⇒ vol. of 1 spherical lead shot
⇒ (vol. of water in cone) = n × vol. of 1 lead shot
(where, n is no. of lead shots)
⇒ n = 100
Question 8.
A solid metallic sphere of diameter 28 cm is melted and recast into a number of smaller cones, each of diameter cm and height 3 cm. Find the number of cones so formed.
Answer:
Given that, diameter(d) of sphere is 28 cm and diameter(D) of cone is and height(h) is 3 cm.
⇒ radius(r) of sphere
And, radius(R) of cone
⇒vol. of spheres
⇒ vol. of cone
⇒ vol. of sphere = n × vol. of 1 cone
(where, n is no. of cones)
⇒ n = 672