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If a sphere of radius 2r has the sam...

If a sphere of radius `2r` has the same volume as that of a cone with circular base of radius `r ,` then find the height of the cone.

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Radius of sphere`=2r`
Radius of cone`=r`
Volume of sphere`=4/3pi(2)^3=32/3pir^3`
volume of cone `=1/3xxpir^2xxh`
Given volume of sphere and cone are equal.
`32/3pir^3=1/3xxpir^2xxh`
`h=32r`
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