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The height of a cylinder and that of a cone are in the ratio 2 : 3 and the radii of their bases in the ratio 3 : 4. The ratio of their volume will be
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- 1 : 9
- 2 : 9
- 9 : 8
- 3 : 8
- 1 : 9
Correct Option: C
Let radius of cylinder = 3x
radius of cone = 4x
Also, let height of cylinder = 2y and height of cylinder = 3y
| Volumeof the cone |
| = | |||||
| (3x)² × 2y | = | = 9 : 8 | |||
| π(4x)² × 3y | 16πx²y | ||||
| 3 | |||||
