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Question

Say true or false.

A cone, a hemisphere and a cylinder stand on equal bases and have the same height. The ratio of their volumes is 1:2:3.

A
True
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B
False
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Solution

The correct option is A True
Volume of the cone=13πr2h
Volume of the hemisphere=23πr3
Volume of the cylinder=πr2h
height s of all are same.
Height of hemisphere is r, so is of cone and cylinder.
Therefore, V1=13πr2r
V2=23πr3
and V3=πr2r
So, it is true.

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