Question

If the numerical value of the volume of a sphere is equal to its surface area, the the radius in units is _______.
1. 1
2. 3
3. 5
4. 7

Answer 1

Correct Answer - Option 2 : 3

Given:

Volume of sphere = Surface area of sphere

Formula:

Let r = radius of sphere

Volume of sphere = 4/3 × πr³

Surface area of sphere = 4πr²

Calculation:

⇒ 4/3 × πr³ = 4πr²

⇒ r = 3

∴ Radius of sphere is 3 units.