Question

The surface area of a sphere is 576 π cm². Find its volume.​

Answer 1

Given,

The surface area of  a sphere $=576\pi cm^{2}$

$A=4\pi r^{2}$

$4\pi r^{2} =576\pi cm^{2}$

$r^{2} =144\\r=12cm$

Formula for volume of the sphere.

$V=\frac{4}{3} \pi r^{3} \\V=\frac{4}{3} \pi 12^{3} \\V=\frac{4}{3} \pi 1728\\V=4(576)\pi \\V=2304cm^{3}$

Therefore, volume of sphere is $2304cm^{3}$

Answer 2

Answer:

$7241.14cm^{3}$

Step-by-step explanation:

Given data:

• The surface area of a sphere is $576\pi cm^{2}$

• As we know that, surface area of a sphere is $4\pi r^{2}$.

According to the given data,

$4\pi r^{2} =576\pi$

$\Rightarrow r^{2} =144$

$\Rightarrow r=12$

• Volume of a sphere $=\frac{4}{3} \pi r^{2}cm^{3}$

$=\frac{4}{3}\times\frac{22}{7} \times12\times12\times12$

$=7241.14cm^{3}$

Hence, the volume of the sphere is $7241.14cm^{3}$.