If the surface area of a sphere is 64 π cm2 ,then the volume of the sphere is :

$\frac{241}{3} π$ cm3 $\frac{251}{5} π$ cm3 $\frac{226}{3} π$ cm3 $\frac{256}{3} π$ cm3

$\frac{256}{3} π$ cm3

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