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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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Oct 14, 2018
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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 ________?
Mathematics
college
Miguel Teixeira
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Miguel Teixeira
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Volume of a cylinder with radius r and height H, Vc = π (r^2)*H
Volume of a conce with radius R and height H, Vcone = (1/3) π (R^2) * H
Vcone = Vc => (1/3)π (R^2)*H = π(r^2)*H
=> R^2 = 3 * (r^2)
=> R = r√3
Answer: R = r √3
Chuck Lowery
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Oct 18, 2018
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Chuck Lowery
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