1.

A cone, a hemisphere and a cylinder stand on equalbases and have the same height. Show that their volumes are in the ratio1:2:3.A. `1 : 2 : 3`B. `2 : 1 : 3`C. `2 : 3 : 1`D. `3 : 2 : 1`

Answer» Correct Answer - A
Let R be the radius of each
Height of hemisphere = its radius = R cm
`:.` height of each = R cm
Ratio of their volumes `= ((1)/(3) pi R^(2) xx R) : ((2)/(3)pi R^(3)) : (pi R^(2) xx R)`


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