The correct option is C 683π cm3
Given, surface area of the sphere = 256π
We know that the surface area of a sphere = 4πr2
So, 4πr2=256π
⇒r2=2564
⇒r2=64
⇒r=√64=8 cm
Therefore, radius of the sphere = 8 cm
Now, volume of the sphere is
= 43πr3
= 43×π×(8)3
= 4×5123π
= 20483π
= 682.66π cm3
≈683π cm3