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If the surface areas of two spheres are in the ratio 9 : 16, the ratio of their volumes is
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- 16 : 9
- 27 : 64
- 64 : 27
- 9 : 16
- 16 : 9
Correct Option: B
Radii of spheres = r1 and r2 units According to the question
| = | ||||
| 4πr2² | 16 |
| ⇒ | = | |||
| r2² | 16 |
| ⇒ | = √ | = | |||
| r2² | 16 | 4 |
| ∴ Ratio of their volumes = | πr1³ | ||
| 3 | |||
| πr2³ | |||
| 3 | |||
| = |  |  | ³ | = | | | ³ | = | |||
| r2 | 4 | 64 |
