The volume of a cylinder is 40ft³. Which expression represents the volume of a cone with the same base and height as the cylinder?

A. 3 (40) ft³

B. 3 (1/40) ft³

C. 1/3 (40) ft³

D. 1/3 (40²) ft³

The answer is C or 1/3 (40) ft³.

Step-by-step explanation:

If you have the volume of a cylinder and want to find the volume of a cone with the same base and height, the volume of a cone will always be 1/3 of a cylinder. So, you would multiply 1/3 by the volume of the cylinder (in this case, it is 40). So, the answer is C.

The answer is not A, because a cone is not 3 times a cylinder, its the other way around.

Its not B, because the volume of our cylinder is not 1/40.

Lastly, D is also incorrect, because if you have the volume of the cylinder, you do not need to square it in order to find the cones volume.