Question

The TSA of sphere is 616 $c{m}^2$. Find its volume.

Answer 1

According to the problem

$4\pi r^2$ is the curved surface area of sphere.

Implies that

$616=4\pi r^2$

implies that

$\pi r^2=\frac{616}{4}$

implies that,

$\pi r^2=154$

Implies that

$r^2=\frac{154\times 7}{22}$

$r^2=49$

$r=\sqrt{49}$

$r=7cm$

Hence , the volume of sphere is

$\frac{4}{3}\pi r^3$

$=\frac{4}{3}\frac{22}{7}\times 7\times 7\times 7$

$=\frac{4312}{3}{cm}^3$

$=1437.3{cm}^3$