SSC GD 2023 PYQ — Question 48

SSC GD Constable (English) - 10 Jan 2023 - Shift 3 • Quantitative Aptitude • Q48

The curved surface area of a sphere is 1386 cm2 . The volume of this sphere is:

Show answer & explanation

Correct answer: B

Explanation

The correct answer is option 2 i.e. 4851 cm3.

The surface area of the sphere = 1386 cm2

Surface area of a sphere = 4πr2

Volume of a sphere = (4/3)πr3

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