Question

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

• A. $2:3:1$
• B. $3:4:5$
• C. $3:5:7$
• D. $1:2:3$

Answer 1

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

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

Radius and heights of all are equal therefore

$V_1:V_2:V_3=\frac{1}{3}:\frac{2}{3}:1\Rightarrow 1:2:3$