SSC GD 2023 PYQ — Question 50

SSC GD Constable (English) - 27 Jan 2023 - Shift 1 • Quantitative Aptitude • Q50

Radius of a sphere is 6 cm. The numerical value of the surface area of this sphere is what percentage of the numerical value of its volume?

Show answer & explanation

Correct answer: D

Explanation

The Correct answer is option 4 i.e. 50%

Given that

The radius of a sphere (r) = 6 cm

Formula used

Volume of the sphere V =  4/3πr3

Surface area of the sphere S =  4πr²

Calcualtion

V = (4/3) * (22/7) * 63 = 905.14 cm3

S = 4 * (22/7) * 62 = 452.57 cm2

Hence, the required % = [(905.14 - 452.57)/905.14] * 100 = 50%