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)πr^{3}

Given, solid sphere of radius 10 cm is moulded into 8 spherical solid balls of equal radius

⇒ (4/3)π × 10^{3} = 8 × (4/3)π × r^{3}

⇒ r= 10/2 = 5cm

Surface area of a sphere = 4πr^{2}

Thus, the surface area of each sphere = 4 × π × 5^{2} = 100π

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