Question

A solid sphere of radius $3cm$ is melted and then recast into small spherical balls each of diameter $0.6cm$. Find the number of balls.

Answer 1

radius of bigger sphere(R) = 3 cm

radius of smaller balls(r) = 0.6/2 = 0.3 cm

let the number of small balls = n

n×volume of a small balls = volume of bigger sphere

n*4/3πr³ = 4/3πr³

n = R³/r³

n = (R³/r³)

n = (3/.03)³ = (10)³

n = 1000

Number of small balls is 1000.