Question

A cylinder, cone and a hemisphere are equal base and have the same height. Find the ratio of their volumes.

Answer 1

Let their radius be $r$

And, their height be $h$

For hemisphere, $radius=height$

Volume of cylinder $:$ vol. of cone $:$ vol. of hemisphere

$⟹\pi r^{2}h:\frac{\pi r^{2}h}{3}:\frac{2}{3}\pi r^{2}h$

$⟹1:\frac{1}{3}:\frac{2}{3}$

$⟹3:1:2$