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