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The formula for the volume of a cylinder is V = πr2h. The volume of a cylinder is three times the volume of a cone with the same radius and height. If the volume of a cone with the same height as a cylinder equals the volume of the cylinder, the equation for the radius of cone R in terms of the radius of cylinder r is

 Jun 27, 2016
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Vcylinder = pi*r2*h

 

Vcone = pi*R2*h/3

 

Vcylinder = Vcone  ⇒  r2 = R2/3  so  R = sqrt(3)*r

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 Jun 27, 2016

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