Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Mensuration: 3D

Question:

If the base radius of 2 cylinders are in the ratio 3 : 4 and their heights are in the ratio 4 : 9, then the ratio of their volumes is:

Options:

1 : 2

2 : 1

1 : 4

4 : 1

Correct Answer:

1 : 4

Explanation:

We know that,

Volume of cylinder = πr2h

Ratio of radius = r1 : r2 = 3 : 4

Ratio of heights = h1 : h2 = 4 : 9

Now the ratio of the volumes = π(r1)h1 : π(r2)2 h2 

= 32 × 4 : 42 × 9 = 1 : 4