Volume of a Frustum

Volume of frustum of right circular cone

Derive the formula for the volume of the frustum of a cone.

The radii of the frustum of a right circular cone are in the ratio 2 : 1. What is the ratio of the volume of the frustum of the cone to that of the whole cone ?

The frustum of a right circular cone has the radii of base 4 cm, of the top 2 cm and a height of 6 cm. Find the volume of the frustum.

The radii of the circular bases of a frustum of a right circular cone are 12 cm and 3 cm and the height is 12 cm. Find the total surface area and the volume of the frustum.

The radii of the ends of a frustum of a right circular cone are 5 metres and 8 metres and its lateral height is 5 metres. Find the lateral surface and volume of the frustum.

What is volume of the frustum of a cone with height h and radii r_(1),r_(2) ?

If the areas of circular bases of a frustum of a cone are 4\ c m^2 and 9\ c m^2 respectively and the height of the frustum is 12 cm. What is the volume of the frustum?

If r_(1) = 5 cm, r_(2) = 3 cm, h = 9 cm, then the volume of frustum of the cone is