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The ratio of the weights of two spheres is 8 : 27 and the ratio of weights per 1 cc of materials of two is 8 : 1. The ratio of the radii of the spheres is
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- 2 : 3
- 1 : 3
- 3 : 1
- 3 : 2
- 2 : 3
Correct Option: B
Mass = Volume × density
∴ | |
Mass of sphere B |
= | πR³ × d1 | |
3 | ||
πr³ × d2 | ||
3 |
⇒ | = | ||
27 | r³ |
⇒ | = | ||
r³ | 27 |
⇒ | = ³√ | = | = 1 : 3 | |||
r | 27 | 3 |