Question

If the volume and surface are of a sphere are numerically the same, then its radius is
1. 1 unit
2. 2 units
3. 3 units
4. 4 units

Answer 1

Correct Answer - Option 3 : 3 units

Given

Volume and surface area of a sphere are numerically same

Concept used

Volume of Sphere = (4/3) πr³

Surface area of sphere = 4πr²

Calculation

⇒ \(\frac{4}{3}\pi {r^3} = 4\pi {r^2}\)

⇒ \(\frac{r}{3} = 1\)

∴ r = 3 units