Question

A cone and a hemisphere have equal bases and equal volumes. The ratio of their height is

• A. $2:1$
• B. $\sqrt{2}:1$
• C. $\sqrt{3}:2$
• D. $3:1$

Answer 1

Answer: (A)

$2:1$

It is given that
$\frac{1}{3}\pi r^{2}h=\frac{1}{2}.\frac{4}{3}\pi r^3$
$\Rightarrow \frac{h}{r}=\frac{2}{1}$ i.e. $h:r=2:1$