Answer:
cone volume = cylinder volume times 1/3 the ratio of cone height to cylinder height
Step-by-step explanation:
Let h1 and V1 represent the height and volume of the cylinder, and h2 and V2 the height and volume of the cone.
We are told they have a common base area (B), so ...
V1 = Bh1 ⇒ B = V1/h1
V2 = (1/3)Bh2 = (1/3)(V1/h1)h2
The volume of the cone is ...
V2 = h2/(3h1)×V1
"one-third the ratio of cone height to cylinder height, multiplied by the cylinder volume."
