Mensuration extra hots sums for practice

The radii of two circular ends of a frustum shaped bucket are 15 cm and 8 cm. If its depth is 63cm, find the capacity of the bucket in litres.

The volume of a solid cone is 4928 cu.cm. If its height is 24 cm, then find the radius of the cone.

Base area and volume of a right circular cylinder are 13.86 sq.cm, and 69.3 cu.cm respectively. Find its height and curved surface area.

A hollow cylindrical iron pipe is of length 28 cm. Its outer and inner diameters are 8 cm and 6 cm respectively. Find the volume of the pipe and weight of the pipe if 1cu. cm of iron weights 7gm.

If the curved surface area of a right circular cylinder is 704 sq. cm, and height is 8 cm, find the volume of the cylinder in litres.

The thickness of a hemispherical bowl is 0.25 cm. The inner radius of the bowl is 5 cm. Find the outer curved surface area of the bowl.

Total surface area of a solid hemisphere is 675 π sq. cm. Find the curved surface area of the hemisphere.

A hollow sphere in which a circus motorcyclist performs his stunts, has an inner diameter of 7 m. Find the area available to the motorcyclist for riding.

Radius and slant height of a right circular cone are 35 cm and 37 cm respectively. Find the curved surface area and total surface area of the cone.

The internal and external radii of a hollow cylinder are 12 cm and 18 cm respectively. If its height is 14 cm, then find its curved surface area and total surface area.

The diameter of a road roller of length 120 cm is 84 cm. If it takes 500 complete revolution to level a playground, then find the cost of levelling it at the cost of 75 paise per square metre.

The ratio between the base radius and the height of a right circular cylinder is 2:5. It its curved surface area is 3960/7 sq.cm. find the height and radius.

If the total surface area of a solid right circular cylinder is 880 sq. cm. and its radius is 10 cm, find its curved surface area.

A solid right circular cylinder has radius 7 cm and height 20 cm. Find its (i) curved surface area and (ii) total surface area. (take pi = 22/7)