Question

A solid is in the shape of a cone standing on a hemisphere with both their radii being equal to $7$ cm and the height of the cone is equal to its diameter. Find the volume of the solid. $[Use\pi =\frac{22}{7}].$

Answer 1

Given: radius $=7$ cm, height$=14$ cm

Volume of hemisphere = $\frac{2}{3}\pi r^3$

$=\frac{2}{3}\times \frac{22}{7}\times 7^3$

$=718.66$ $c{m}^2$

Volume of cone $=$ $\frac{1}{3}\pi r^{2}h$

$=\frac{1}{3}\times \frac{22}{7}\times 7^2\times 14$

$=718.66$ $c{m}^3$

Total volume $=$ Volume of hemisphere $+$ Volume of cone

$=718.66+718.66=1437.32$ $c{m}^3$