Practicing Success

Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Mensuration: 3D

Question:

The volumes of two spheres are in the ratio 64 : 125. Then the ratio of their surface areas is:

Options:

4/25

4/5

16/25

25/16

Correct Answer:

16/25

Explanation:

If the ratio of the volumes of two spheres is given then the ratio of their radius will be equal to the cube root of the volume =

Given,

Ratio of their volume = 64 : 125

Then the ratio of their radius = 4 : 5

Now the ratio of their areas = square of the radius

= 42 : 52 = 16 : 25