A solid sphere of radius 3 cm is melted and them cast into small spherical balls, each of diameter 0.6 cm. Find the number of small balls so obtained.

Given,

Radius of sphere = 3 cm

Volume of sphere = πr³ = × π × 3 × 3 × 3cm³ = 36π cm³

Radius of small sphere = cm = 0.3 cm

Volume of small sphere = × π × 0.3 × 0.3 × 0.3cm³

= cm³

Let the number of small balls be n;

n × = × π × 3 × 3 × 3

n = 1000

Hence, the number of small balls = 1000