Question

If the volume of a hemisphere is $144\pi c{m}^3,$ then, its radius will be .

• A. $5cm$
• B. $6cm$
• C. $7cm$
• D. $8cm$

Answer 1

The correct option is B $6cm$

Given that,
$\text{Volume of the hemisphere}=144\pi c{m}^3$
$\Rightarrow \frac{2}{3}\pi r^3=144\pi$
$\Rightarrow \frac{2}{3}{r}^3=144$
$\Rightarrow r^3=\frac{144\times 3}{2}$
$\Rightarrow r^3=216$
$\Rightarrow r=6cm$

$\text{Hence, radius of the given hemisphere}=6cm$