Question

If the surface area of the sphere is 1386 cm², then find the volume of the sphere (π = 22/7).

1. 4851 cm³
2. 4861 cm³
3. 4841 cm³
4. 4871 cm³

Answer 1

Correct Answer - Option 1 : 4851 cm³

Given:

The surface area of the sphere = 1386 cm²

Formula Used:

Surface area of sphere = 4 × πr²

Volume of sphere = (4/3) × πr³

Calculation:

Surface area of sphere = 4 × πr²

⇒ 1386 = 4 × (22/7) × r²

⇒ r² = 1386 × (7/88)

⇒ r² = 63 × (7/4)

⇒ r = 21/2

Volume of sphere = (4/3) × πr³

⇒ (4/3) × (22/7) × (21/2)³

⇒ (4/3) × (22/7) × (441/4) × (21/2)

⇒ 11 × 441

⇒ 4851 cm³

∴ The volume of the sphere is 4851 cm³.