If a solid sphere of radius 10 cm is moulded into 8 spherical solid balls of equal radius, then the surface area of each ball (in sq. cm) is
Volume of sphere = (4/3)πr3
Given, solid sphere of radius 10 cm is moulded into 8 spherical solid balls of equal radius
⇒ (4/3)π × 103 = 8 × (4/3)π × r3
⇒ r= 10/2 = 5cm
Surface area of a sphere = 4πr2
Thus, the surface area of each sphere = 4 × π × 52 = 100π