Question

The surface area of a sphere is $154{cm}^2$. Find the volume of its hemisphere. $(\pi =\frac{22}{7})$

Answer 1

Given, surface area of sphere $=154{cm}^2$
Surface area of sphere $=4\pi r^2$
$\Rightarrow r^2=\frac{154\times 7}{4\times 22}=12.25$
$\Rightarrow r=3.5cm$

Volume of hemisphere $=\frac{2}{3}\pi r^3$

$=\frac{2}{3}\times \frac{22}{7}\times \frac{7}{2}\times \frac{7}{2}\times \frac{7}{2}$

$=89.83c{m}^3$