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The radii of the base of two cylinders A and B are in the ratio 3 : 2 and their height in the ratio n : 1. If the volume of cylinder A is 3 times that of cylinder B, the value of n is
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- 4/3
- 2/3
- 3/4
- 3/2
- 4/3
Correct Option: A
Let the radius of the base of cylinder A be 3x units and that of cylinder B be 2x units.
Similarly, height of cylinder A = ny units and that of cylinder B be y units.
Since, Volume of cylinder = πr²h
According to the question π(3x)² × ny = 3π (2x)² × y
⇒ 9x²y.n = 12x²y
| ⇒ n = | = | |||
| 9 | 3 |
