Question

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

Answer 1

We have,

A cylinder $=A$ cone $=A$ hemisphere $=$ same height

then, we know that

Cylinder volume = $\pi r^{2}h=V_1$

Cone volume = $\frac{1}{3}\pi r^{2}h=V_2$

Hemisphere volume = $\frac{3}{2}\pi r^{2}h=V_3$

when $h=$ height

$r=$radius of Base

According to given question,

$V_1:V_2:V_3=\pi r^{2}h:\frac{1}{3}\pi r^{2}h:\frac{2}{3}\pi r^2$

$V_1:V_2:V_3=3:1:2$

Hence, this is the answer.