Question

If the surface area of a sphere is $2826c{m}^2$ then find its volume. $(\pi =3.14)$

Answer 1

Let the radius of the sphere be $rcm$.

Given: The surface area of the sphere $=2826c{m}^2$

We know that surface area of sphere $=4\pi r^2$

$\therefore 4\pi r^2=2826c{m}^2$
$\Rightarrow r^2=\frac{2826}{4\times 3.14}=225$

$\Rightarrow r=\sqrt{225}=15cm$

$\therefore$ Volume of the sphere $=\frac{4}{3}\pi r^3=\frac{4}{3}\times 3.14\times {15}^{3}c{m}^3=14130c{m}^3$

Thus, the volume of the sphere is $14130c{m}^3$