Question

A solid is in the form of a cone standing on a hemi-sphere with both their radii being equal to 8 cm and the height of cone is equal to its radius. Find, in terms of it, the volume of the solid.

Answer 1

Volume of the solid = Volume of cone + volume of hemisphere = $\frac{1}{3}\pi r^{2}h$ + $\frac{2}{3}\pi r^3$

= $\frac{1}{3}\pi 8^3$ + $\frac{2}{3}\pi 8^3$
= $\pi 8^3$ = $512\pi$ = 1607.68 $c{m}^3$