If the surface area of a sphere is 64π cm2 then, the volume of the sphere is:
Show answer & explanation
Correct answer: D
Explanation
The correct answer is option 4 i.e. 256π/3 cm3.
The surface area of sphere = 4πr2 = 64π
⇒ 4πr2 = 64π
⇒ r2 = 16
⇒ r = 4 cm
Volume of sphere = (4πr3)/3 = 4π(4)3/3 = 256π/3 cm3