Question

A cone, a hemisphere and a cylinder stand on equal bases and have the same height. Find the ratio of their volumes.

• A. $1:2:2$
• B. $1:2:3$
• C. $1:2:4$
• D. $2:3:4$

Answer 1

The correct option is B $1:2:3$

Volume of cone : Volume of hemisphere : Volume of cylinder

$\frac{1}{3}\pi r^{2}h:\frac{2}{3}\pi r^3:\pi r^{2}h$

Radius & height of cone, hemisphere and cylinder are equal, then

$\frac{1}{3}:\frac{2}{3}:1\Rightarrow 1:2:3$