A cone and a cylinder have the same bases and volume. How are their heights related? Explain

Height of the cone is thrice the height of the cylinder

Step-by-step explanation:

Let 'h' b e the height of the cylinder and 'H' be the height of the cone.

Volume of cylinder = base area * h

Volume of cone = 1/3 (base area) * H

Since the volumes are equal with same base areas,

base area * h = 1/3 (base area) * H

h = H/3

Or,

3h = H