Question

 Surface area of a sphere is 1386 cm². Find its volume.
1. 4851 cm³
2. 4545 cm³
3. 4581 cm³
4. 4562 cm³

Answer 1

Correct Answer - Option 1 : 4851 cm³

Given:

Surface area of sphere = 1386 cm²

Concept used:

Mensuration

Calculation:

Surface area of sphere = 4 π r²

⇒ 4 π r² = 1386

⇒ 4 × 22/7 × r² = 1386

⇒ r² = \(\frac{{9\ ×\ {7^2}}}{4}\)

⇒ r = 21/2

Volume sphere = \(\frac{4}{3}\pi {r^3}\)

Volume = \(\frac{4}{3} × \frac{{22}}{7} × \frac{{441}}{4} × \frac{{21}}{2}\)

Volume = 441 × 22/2

Volume = 4851 cm³