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

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3 April, 06:57

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Zoe Barrera · Answer 1

Let R be radius of cylinder and r the radius of cone.

πR^2h = 1/3πr^2h

R^2 = 1/3r^2

r^2 = 3R^2

r = sqrt (3) x R