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The radii of the base of a cylinder and a cone are in the ratio √3 : √2 and their heights are in the ratio √2 : √3 . Their volumes are in the ratio of
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- √3 : √2
- 3√3 : √2
- √3 : 2√2
- √2 : √6
- √3 : √2
Correct Option: B
= | ||||||
Volume of cone | πr2²h2 | |||||
3 |
= 3. | ² | ||||||
r2 | h2 |
= 3 × | ² | × | ||||
√2 | √3 |
= 3 × | = 3√3 : √2 | |
√2 |