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The ratio of the volume of two cones is 2 : 3 and the ratio ofradii of their base is 1 : 2. The ratio of their height is
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- 3 : 8
- 8 : 3
- 4 : 3
- 3 : 4
- 3 : 8
Correct Option: B
Let the height be h1 and h2 and radii be r and 2r respectively.
| ∴ | = | πr²h1 | ||
| V1 | ||||
| V2 | π(2r)² × h2 | |||
| 3 | ||||
| ⇒ | = | |||
| 4r² × h2 | 3 |
| ⇒ | = | × | = | = 8 : 3 | ||||
| h2 | 3 | 1 | 3 |
