Question

find the volume of the sphere whose surface area is 144 cm^2

Answer 1

surface area= 4πr²
144=4*22/7*r²
144*7/22*4=r²
11.45=r²
3.35 cm =r
volume = 4/3 πr³
= 4/3*22/7*3.35*3.35*3.35
= 157.54 cm³

Answer 2

◀HERE'S ⏬ YOUR ANSWER▶

Given that, surface area
$144 \: \: \: {cm}^{2} \\ or \: \: 4\pi {r}^{2} = 144 \\ or \: \: r = \sqrt{ \frac{6}{\pi} } \: \: cm$
we are taking the positive value only.

So, the volume of the sphere is
$= \frac{4}{3} \pi {r}^{3} \\ = \frac{4}{3}\pi ({ \sqrt{ \frac{6}{\pi} } })^{3} \\ = 11.05 \: \: {cm}^{3}$

⏏HOPE THIS ⬆ HELPS YOU⏏