Question

If the surface area of a sphere is 1386 cm², then its volume is:

(Take π = \(\frac {22} 7\))

1. 5418 cm³
2. 8451 cm³
3. 4851 cm³
4. 4581 cm³

Answer 1

Correct Answer - Option 3 : 4851 cm³

Given:

The surface area of the sphere = 1386 cm²

Formula used:

Surface area of a sphere = 4πr²

Volume of a sphere = (4/3)πr³

Calculations:

Surface area of a sphere = 4πr2

⇒ 4πr² = 1386

⇒ 4 × (22/7) × r² = 1386

⇒ r = 21/2 cm

 

Volume of a sphere = (4/3)πr³

⇒ (4/3) × (22/7) × (21/2)³ 

⇒ 4851 cm³

∴ The volume of the sphere is 4851 cm³.