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Volume of two cones are in the ratio 1 : 4 and their diameters are in the ratio 4 : 5. The ratio of their height is
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- 1 : 5
- 5 : 4
- 5 : 16
- 25 : 64
- 1 : 5
Correct Option: D
Let the height of the cones be h1 and h2 respectively.
| ∴ | πr1²h1 | = | |
| 3 | |||
| πr2²h2 | |||
| 3 | |||
(r1 and r2 are radii)
| = | = | × | = | × | = | ||||||
| h2 | 4 | r1² | 4 | 16 | 64 |
⇒ 25 : 64
