Practicing Success

Target Exam

CUET

Subject

General Test

Chapter

Numerical Ability

Topic

Ratios

Question:

If the surface areas of two spheres are in the ratio 4 : 25 , then the ratio of their volumes is :

Options:

4 : 25

25 : 4

125 : 8

8 : 125

Correct Answer:

8 : 125

Explanation:

Surface area of sphere = 4πr²

Volume of sphere = 4πr³

Ratio of surface area of two spheres = 4 : 25

Ratio of radius of two spheres = \(\sqrt { 4}\) : \(\sqrt { 25}\)

 = 2 : 5

Ratio of volume of two spheres =2³ : 5³

= 8 : 125

The correct answer is option (4) : 8 : 125