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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

User Taber
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cylinder is 3 times cone
cylinder times 1/3=cone
(1/3)(pir^2h)=Vcone

User LazZiya
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