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The base radii of two cylinders are in the ratio 2 : 3 and their heights are in the ratio 5 : 3. The ratio of their volumes is :
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- 27 : 20
- 20 : 27
- 9 : 4
- 4 : 9
- 27 : 20
Correct Option: B
Let the radii of two cylinders are r1, r2 and length of the cylinders are h1, h2 respectively.
According to the question
| = | and | = | |||||
| r2 | 3 | h2 | 3 |
∴ Ratio of their volume = πr1²h1 : πr2²h2
= r1²h1 : r2²h2
= (2)² × 5 : (3)² × 3 = 4 × 5 : 9 × 3 = 20 : 27
