Question

Find the radius of each of the 8 spherical balls which are made from a solid sphere of radius 10 cm by melting it.​

Answer 1

Here is the step by step explanation

Answer 2

Given:

Number of spherical balls formed = 8

Radius of the big solid sphere = 10 cm

To find:

Radius of the small spherical balls made from the large spherical ball.

Solution:

Let the radius of the small spherical balls be r cm.

Since the volume will remain constant when the small spherical balls are formed from the large spherical ball:

8* 4/3*π*r^3 = 4/3*π*(10)^3

8r^3 = 1000

r^3 = 1000/8

r^3 = 125

r = 5 cm

Therefore the radius of the small spherical balls will be 5 cm.