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If the ratio of volumes of two cones is 2 : 3 and the ratio of the radii of their bases is 1 : 2, then the ration of their heights will be ?
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- 3 : 8
- 8 : 3
- 9 : 2
- 8 : 1
Correct Option: B
[(1/3)πr12h1]/[(1/3)πr22h2] = 2/3
⇒ (r1/r2)2 x (h1/h2) = 2/3
⇒ (1/2)2 x (h1/h2) = 2/3 [ &bacaus; r1/r2 = 1/2]
⇒ h1/h2 = 8/3
∴ h1 : h2 = 8 : 3
