How many solid spheres of radius 3 cm can be formed by melting a bigger solid sphere of radius 24 cm?

512

We know that,

The volume of sphere = \(\frac{4}{3}\) × π × r³

We have,

The radius of each small sphere = 3 cm

Radius of big sphere = 24 cm

Let the number of small spheres = x

According to the question,

= \(\frac{4}{3}\) × π × 24³ = x × \(\frac{4}{3}\) × π × 3³

= x = 512