Question

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

Answer 1

We are given a solid sphere with radius cm.
From this sphere we have to make spherical balls of radius cm.

Let the no. of balls that can be formed be.

We know,
Volume of a sphere =.
So, volume of the bigger solid sphere= …… (a)

Volume of one smaller spherical ball = …… (b)

We know, the volume of the solid sphere should be equal to the sum of the volumes of the n spherical balls formed.

So, using (a) and (b), we get,

Therefore,

Hence, the no. of balls of radius that can be formed out of solid sphere of radius is 512.