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A cone and a hemisphere have equal bases...

A cone and a hemisphere have equal bases and equal volumes. The ratio of their heights is

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Volume of the cone`=1/3pir^2h`
Volume of the hemisphere `=2/3pir^3`
`=>1/3pir^2h=2/3pir^3`
`h=2r`
Height of the cone` =`2r unit
Height of the hemisphere = Radius of the hemisphere` =r`
Ratio of the heights of cone and hemisphere` =2r:r=2:1`
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