Solution:

Given,

A solid sphere of radius, R = 8 cm

With this sphere, we have to make spherical balls of radius r = 1 cm

Let’s assume that the number of balls made as n.

Then, we know that

Volume of the sphere = 4/3 πr³

The volume of the solid sphere = The sum of the volumes of n spherical balls

n x 4/3 πr³ = 4/3 πR³

n x 4/3 π(1)³ = 4/3 π(8)³

n = 8³ = 512

Therefore, 512 balls can be made of radius 1 cm each with a solid sphere of radius 8 cm.