A spherical ball of diameter 21 cm is melted and recast into cubes, each of side 1 cm. Find the number of cubes so formed

Diameter of sphere = 21 cm


Hence, radius of the sphere =


Volume of sphere = π × r3 =


Volume of cube = a3 = 13


Let the number of cubes formed be n


Volume of sphere = n(volume of cube)


= n × 1


4 × 22 × = n × 1


11 × 21 × 21 = n × 1


4851 = n


So,


Hence, the number of cubes is 4851


14