SSC CPO 2023 PYQ — Question 119

SSC CPO - 04 Oct 2023 - Shift 1 • Quantitative Aptitude • Q119

The volume of a sphere is given by 130977 cm3. Its surface area (in cm2) is:

Show answer & explanation

Correct answer: B

Explanation

The correct answer is option 2 i.e. 12474.

The volume of a sphere is given by 130977 cm3.

The volume of a sphere = 4/3πr3

The surface area of a sphere = 4πr²

⇒ 4/3 × 22/7 × r3 = 130977

⇒ r3 = 31255.875

⇒ r = 31.5 cm

Surface area of the sphere = 4 × (22/7) × 31.5 × 31.5 = 12474 cm2