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If the volumes of two right circular cones are in the ratio 1 : 4 and their diameters of bases are in the ratio 4 : 5, then their heights will be in the ratio :
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- 1 : 5
- 4 : 25
- 16 : 25
- 25 : 64
- 1 : 5
Correct Option: D
| = | = | |||||
| d2 | r2 | 5 |
| ∴ | = | πr1²h1 | ||
| 3 | ||||
| V2 | πr2²h2 | |||
| 3 | ||||
| ⇒ | = |  |  | ² | × | |||
| V2 | r2 | h2 |
| ⇒ | = | | | ² | × | |||
| V2 | 5 | h2 |
| ⇒ | = | × | = | = 25 : 64 | ||||
| h2 | 4 | 4 × 4 | 64 |
