Question
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?
Answers
Damon
(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
so
r^2 h = R^2 H
(1/4)15^2 * h = (1/4)10^2 * 18
h = (100/225) * 18
K
God bless you Damon and I hope you have a lovely day!