SSC CHSL 2022 PYQ — Question 62

The correct answer is option 4 i.e. 144π cm²

Given:

Volume of sphere = 288π cm^3.

Formula used:

Volume of sphere = (4/3)πr³             ---- (1)

Surface area of sphere = 4πr²           ----- (2)

Calculations:

Using equation (1), we get

⇒ (4/3)πr³ = 288π

⇒ r³ = 216

⇒ r = 6

Using equation (2), we get

Surface area of sphere = 4πr²

⇒ 4 × π × 36

⇒ 144π cm²