Question

A cylinder holds 87 gallons of water. How many gallons of water does a cone with the same radius

height hold? Explain your reasoning.

Answer 1

the cone holds only 1/3 as much water as the cylinder, which comes to 29 gallons

Explanation:

Let the radius in both cases be r and the height in both cases h.

Cylinder volume is (area of base)(height), and

Cone volume is (1/3)(area of base)(height).

Thus, the cone holds only 1/3 as much water as the cylinder, which comes to 29 gallons.