Question

The ratio of the radii of 2 cylinders 5 ∶ 6 and the ratio of their heights is 9 ∶ 7. What is the ratio of their volume ?
1. 21 ∶ 23
2. 23 ∶ 27
3. 28 ∶ 29
4. 25 ∶ 28

Answer 1

Correct Answer - Option 4 : 25 ∶ 28

Given:  

The ratio of the radii of cylinders = 5 ∶ 6

The ratio of heights of cylinders = 9 ∶ 7

Formula Used:

The volume of cylinder = πr²h

Calculation:

Volume of cylinder 1 ∶ Volume of cylinder 2

⇒ [π × (5)² × 9] ∶ [π × (6)² × (7)]

⇒ 25 ∶ 28

∴ The ratio of their volume is 25 ∶ 28

The correct option is 4 i.e. 25 ∶ 28