If the surface area of a sphere is 64 π cm2 ,then the volume of the sphere is :
Answer & explanation
Correct answer: option 4
We know that,
The surface area of a sphere = 4πr2
The volume of a sphere = \(\frac{4}{3}\)πr3
The surface area of a sphere = 64πcm2
= 4πr2 = 64π
= r2 = 16
= r = 4
Now, volume = \(\frac{4}{3}\)π(4)3 = \(\frac{256π}{3}\) cm3