The number of balls of radius 2 cm that can be made from a solid sphere of radius 4 cm is:

Correct option is C

Given:

Radius of the large sphere (R) = 4 cm

Radius of the small balls (r) = 2 cm

Formula Used:

Volume of a sphere = $$\frac{4}{3}$$​πr³

Solution:

Volume of large sphere = $$\frac{4}{3}$$$$\pi$$​R³​

Volume of large sphere = $$\frac{4}{3}$$​π(4 cm)³

Volume of large sphere = $$\frac{4}{3}$$​π(64 cm³)

Volume of small ball = $$\frac{4}{3}$$​​πr³

Volume of small ball = $$\frac{4}{3}$$​π(2 cm)³

Volume of small ball = $$\frac{4}{3}$$​π(8 cm³)

Number of small balls = $$\frac{\text{Volume of large sphere }}{\text{Volume of small ball}}$$​​

Number of small balls =$$\frac{\frac{4}{3}π(64 cm³ )}{\frac{4}{3}π(8 cm³)}$$​​

Number of small balls = 8

Option (c) is right.