Question

Find the volume of a sphere whose surface area is 1386 m².
1. 4651 m³
2. 4851 m³
3. 3850 m³
4. 5711 m³

Answer 1

Correct Answer - Option 2 : 4851 m³

As we know,

Total surface area of the sphere = 4 πr²

4 πr² = 1386

⇒ 4 × 22/7 × r² = 1386

⇒ r² = 1386 × 7/22 × ¼

⇒ r = √110.25

⇒ r = 10.5

Volume of the sphere = 4/3 × πr³ = 4/3 × 22/7 × 10.5 × 10.5 × 10.5 = 4851 m³