A right circular cone has a base diameter of 10 and a height of 18. A second right circular cone has a base diameter of 15. If the volume of the second cone is equal to the volume of the first cone, then what is the height of the second cone?

Answer 1

(1/3) pi r^2 h = (1/3) pi R^3 H
so
r^2 h = R^2 H

(1/4)15^2 * h = (1/4)10^2 * 18

h = (100/225) * 18

Answer 2

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