How many solid spherical balls of radius 6 cm can be made by melting a solid hemisphere of radius 12 cm?

4 2 10 8

4

We know that, Volume of a sphere = \(\frac{4}{3}\)πr3 Volume of a hemisphere = \(\frac{2}{3}\)πr3 We have, Radius of spherical ball = 6 cm Radius of solid hemisphere = 12 cm Let x be the number of spherical balls made, \(\frac{4}{3}\)π(6)3 = x × \(\frac{2}{3}\)π(12)3 x = 4