SSC GD 2023 PYQ — Question 58

SSC GD Constable (English) - 30 Jan 2023 - Shift 2 • Quantitative Aptitude • Q58

If the surface area of a sphere is 5544 cm2, what is its volume?

Show answer & explanation

Correct answer: B

Explanation

The correct answer is option 2 i.e. 38,808 cm3.

Volume of sphere = 4/3(πr3)

Surface area of the sphere = 5544

4πr² = 5544

⇒ 4 × 22/7 × r² = 5544

⇒ r2 = 441

⇒ r = 21 cm

Volume of sphere =  4/3  × (22/7)  × 213

= 38,808 cm