SSC CGL 2016 PYQ — Question 64

SSC CGL Tier II Quant - 01/12/2016 • Quantitative Aptitude • Q64

The diameter of a sphere is twice the diameter of another sphere, The surface area ofthefirst sphere is equal to the volume of the second sphere, The magnitude of the radius ofthefirst sphereis

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Correct answer: B

Explanation

The correct option is 2.

let radius of sphere 1 = r1

radius of sphere 2 = r2

Given, r1 = 2 r2

surface area of sphere 1 = volume of sphere 2

4π(r1)2 = π(r2)3

r1 = 2 r2

4π(2r2)2 = π(r2)3
4 3

4 = (r2)

r2 = 12

r1 = 2 r2 = 2 × 12 = 24