Question

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

Answer 1

Curved surface area of a sphere $=616c{m}^2$

$4\pi r^2=616$

$r^2=49$

$r=7cm$

We know that volume of the sphere

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

$=\frac{4}{3}\pi \times 7^3$

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

$=\frac{4\times 22}{3}\times 7^2$

$=1437.33c{m}^2$

Hence, this is the answer.