103k views
1 vote
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 ________?

1 Answer

5 votes
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
User Chuck Lowery
by
7.4k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories