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A cone of a radius 5 cm is filled with w...

A cone of a radius 5 cm is filled with water. If the water poured in a cylinder of radius 10cm, the height of the water rises 2 cm, find the height of the cone.

Text Solution

Verified by Experts

Radius of cone `r=5 cm`
Radius of cylinder `R=10 cm`
Let the height of the cone be `h`
Height of the cylinder`=2 cm`
Volume of a cone=Volume of cylinder
`(pir^2h)/3=pir^2h`
`(pi5^2h)/3=pi10^2`
`25/3h=200`
`h=(200xx3)/25`
`h=24`
`therefore` The height of the cone`=24 cm`
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Knowledge Check

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