Find the volume of a square-based right pyramid with a base length of 9 cm and a perpendicular height of 10 cm.

A square-based right pyramid has a base area of 144 cm² and a volume of 384 cm³. Find its perpendicular height.

The side length of the base of a square pyramid is 10 cm and its slant height is 13 cm. Find its volume.

Find the volume of a right circular cone with a base radius of 7 cm and a perpendicular height of 24 cm.

The circumference of the base of a cone is 88 cm and its perpendicular height is 12 cm. Find its volume.

Find the volume of a cone with a slant height of 25 cm and a base radius of 7 cm.

Find the volume of a sphere with a radius of 21 cm.

The volume of a sphere is 38808 cm³. Find its radius.

Find the volume of a solid hemisphere with a radius of 10.5 cm.

A solid metal sphere of radius 6 cm is melted and recast into a solid cone of height 8 cm. Find the radius of the cone.

A solid cone of radius 5 cm and height 12 cm is melted and formed into small spherical balls of radius 0.5 cm. How many such balls can be made?

A solid toy is composed of a hemisphere of radius 7 cm surmounted by a cone of the same radius. If the total height of the toy is 31 cm, find its volume.

A cylindrical container of radius 14 cm and height 20 cm is full of water. The water is poured into conical cups of radius 3.5 cm and height 6 cm. How many cups can be completely filled?

The ratio of the volumes of two spheres is 8:27. What is the ratio of their surface areas?

A container is in the form of an inverted cone. Its height is 24 cm and the radius of its open top is 18 cm. It is filled with water. If the water is poured into a cylindrical container of radius 12 cm, what will be the height of the water level?