Question

How many balls of radius 4 cm can be made from a solid sphere of lead of radius 8 cm?

Answer 1

Hope it is helpful...

Answer 2

The number of 4cm radius balls needed is 8

Given data :

Smaller ball radius = 4 cm

Bigger ball radius = 8 cm

So,

Smaller ball volume = {4/3 × π × (4)³} cm³

Bigger ball volume = {4/3 × π × (8)³} cm³

So,

Number of smaller ball needed

= (Volume of the bigger ball/ volume of the smaller ball)

={ 4/3 × π × (8)³ } ÷ {4/3 × π × (4)³}

= 8³/4³

= 512/64

= 8 (answer)