Question

A solid is in the form of a cone mounted on a right circular cylinder, both having same radii as shown in figure. The radius of the base and height of the cone are 7 cm and 9 cm respectively. If the total height of the solid is 30 cm, find the volume of the solid.

Answer 1

For given solid and according to given data

Volume of the solid=Volume of cone + Volume of cylinder

Volume of cone $$=1/3πr^2h$$

$$=1/3\times 22/7\times 7\times 7\times 9$$

$$=462\ cm^3$$

Height of cylinder=Total height of solid-height of cone

$$=30-9$$

$$=21\ cm$$

Volume of cylinder $$=πr^2h$$

$$=22/7\times 7\times 7\times 21$$

$$=3234\ cm^3$$

Therefore, Volume of solid $$=462+3234$$

$$=3696\ cm^3$$