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Question

A metallic hemisphere is melted and recast in the shape of a cone with the same base radius (R) as that of the hemisphere . If H is he height of the cone , then  :


Options:
A .  H = 2R
B .  H = 3R
C .  H = `sqrt(3)R`
D .  `H = 2/3 R`
Answer: Option A

`2/3 pi R^3 = 1/3 pi R^2`

`rArr    H = 2 R.`



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