Question

A cylinder, a cone and a hemisphere have same base and
same height. Find the ratio of their volumes.
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Answer 1

Answer:

Let the base radii of them be r and height h.

Then ratio of volumes 

cone   : hemisphere : cylinder

=31πr2h:32πr3:πr2h [but h = r]

=31πr2r:32πr3:πr2r 

=31πr3:32πr3:πr3 

=31:32:1

=1:2:3