Question

A cone, a hemisphere and a cylinder stand on equal bases and have the same height. The ratio of their respective volume is

Answer 1

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

Volume of cylinder $=\pi r^{2}h$

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

These stand on common base & of same height, so that $r=h$

Now, $\frac{1}{3}\pi r^3:\frac{2}{3}\pi r^3:\pi r^3=1:2:3$