Question

How many balls each of radius 1cm can be made from a solid sphere of lead of radius 8cm?

Answer 1

Given that a solid sphere f radius (r₁)= 8 cm

With this sphere we have to make spherical balls of radius (r₂)=1cm

since we don’t know no of balls let us assume that no of balls formed be ‘n’

We know that

Volume of sphere = `4/3 pir^2`

Volume of solid sphere should be equal to sum of volumes of n spherical balls

`nxx4/3pi(1)^3=4/3pir^3`

`n=(4/3pi(8)^3)/(4/3pi(1)^3)`

n = `8^3`

n = 512

∴ Hence 512 no of balls can be made of radius 1 cm from a solid sphere of radius 8 cm