What is the relationship between the volume of a cone and the volume of a cylinder?

Question

Hint: On this question,think about the shape of a cone and how many cones make up a cylinder. That will help you select your answer.

(1 point)
Responses

The volume of the cone is equal to the volume of the cylinder.
The volume of the cone is equal to the volume of the cylinder.

The volume of the cone is half the volume of the cylinder.
The volume of the cone is half the volume of the cylinder.

The volume of the cone is one-third the volume of the cylinder.

Answer 1

The volume of a cone is one-third the volume of a cylinder. This is because a cone can be thought of as being formed from one-third of a cylinder with the same base and height.

Thus, the correct response is:

The volume of the cone is one-third the volume of the cylinder.