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Question

A cone a hemisphere and a cylinder stand on equal bases and have the same height . Find the ratio of their  volumes.


Options:
A .  1 : 2 : 3
B .  1 : 3 : 4
C .  1 : 4 : 5
D .  1 : 2 : 5
Answer: Option A

Let R be the radius of each

Height of hemisphere = its radius = R

`:.`    Height of each  = R.

      Ratio volumes = `1/3 pi R^2 xx R : 2/3 pi R^3 : pi R^2 xx R `

                                   = 1 : 2 : 3



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