The diameter of two similar cones are in the ration 5 to 6. If the volume of the smaller cone is 125 PI cubic centimeters and the diameter of the larger cone is 12 centimeters, what is the height of the larger cone?

Answer 1

the diameters are in the ratio 5:6
the larger is 12, so the smaller is 10

the smaller cone has height h=3, so the larger cone has height 3*(6/5) = 18/5