Question

Please help me out please please !!!!!

Answer 1

The surface area of a sphere is given by

$S = 4\pi r^2$

We deduce

$r = \sqrt{\dfrac{S}{4\pi}}$

So, in your case, the radius is

$r = \sqrt{\dfrac{100\pi}{4\pi}}=\sqrt{25}=5$

The volume of a sphere is given by

$V=\dfrac{4}{3}\pi r^3$

So, we have

$V = \dfrac{4}{3} \pi 5^3 = \dfrac{500}{3}\pi$