Question

The surface area of a sphere is 2464 $c{m}^2$,Find its volume.

Answer 1

Surface area of sphere =$4\times \frac{22}{7}\times r^2$---(1)
given surface area = 2464 $c{m}^2$---(2)
(1) = (2)

$4\times \frac{22}{7}\times r^2$ = 2464
$r^2=\frac{2464\times 7}{3\times 7}$

$r^2={14}^2$
r = 14 cm

volume =$\frac{4}{3}\times \frac{22}{7}\times r^3$
= $\frac{4}{3}\times \frac{22}{7}\times {14}^3$
=11498.66 $c{m}^3$