Question

A solid sphere of radius R cm is melted and then drawn into 64 solid spheres of radius 2 cm and there is no wastage of material in this process. Then, what is the value of R?
1. 4
2. 8
3. 10
4. 5

Answer 1

Correct Answer - Option 2 : 8

Formula used:

Volume of solid sphere = 4/3 × πr³

Calculation:

⇒ 4/3 × π × R³ = 64 × 4/3 × π × 2³

⇒ R³ = 64 × 8

⇒ R = 8 cm