SSC GD 2019 PYQ — Question 51

The correct answer is option 4 i.e. 343 : 125

If the surface area of two spheres is in the ratio 49 : 25

Let r and R be the radius of 1^st and 2^nd spheres then,

Surface area of sphere = πr².

πr²/πR² = 49/25

r/R = 7/5

volume of sphere = 4πr³/3

4πr³/3 : 4πR³/3

7³ : 5³

343 : 125