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