Question

The surface area of a sphere is $616{cm}^2$. Find the volume of the sphere.

Answer 1

Let radius of sphere be r.
Given, Surface area of sphere $=616{cm}^2$
$\therefore 4\pi r^2=616$
$\Rightarrow 4\times \frac{22}{7}\times r^2=616$
$r^2=\frac{616\times 7}{4\times 22}$
$\Rightarrow =49$
$\Rightarrow r=\sqrt{49}=7cm$
Now Volume $=\frac{4}{3}\pi r^3$
$\begin{array}{c}=\frac{4}{3}\times \frac{22}{7}\times 7\times 7\times 7\\ =\frac{4\times 22\times 7\times 7}{3}\\ =1437.33{cm}^3\end{array}$
Hence, volume of sphere $=1437.33{cm}^3$