Question

The radii of two cylinders are in the ratio 2 : 5 and their heights are in the ratio 3 : 2. Find the ratio of their volume.
1. 2 : 25
2. 6 : 25
3. 7 : 3
4. 4 : 5

Answer 1

Correct Answer - Option 2 : 6 : 25

Given:

Ratio of radius = 2 : 5

Ratio of heights = 3 : 2

Formula used:

Volume of cylinders = πr²h

Where, r and h represents radius and height of cylinder.

Calculation:

Volume of 1^st cylinder/Volume of 2^nd cylinder = πr²₁h₁/πr₂²h₂

= π(2)²3/π(5)²2

= 6 : 25