The volume of a cylinder is 32.25 cubic inches. If a cone has the same height and radius as the cylinder, what is its volume?

8.06 cu. in.

10.75 cu. in.

21.5 cu. in.

32.25 cu. in.

Question

Mathematics

Janetta

27 February, 09:35

The volume of a cylinder is 32.25 cubic inches. If a cone has the same height and radius as the cylinder, what is its volume?

8.06 cu. in.

10.75 cu. in.

21.5 cu. in.

32.25 cu. in.

+2

Answers (1)

Know the Answer?

Elisa Mendez · Answer 1

Since the volume of a cylinder is hπr^2 and the volume of a cone is (hπr^2) / 3, the volume of the cone will just be 1/3 the volume of the cylinder with the same radius and height. In this case:

V=32.25/3=10.75 in^3

The volume of a cylinder is 32.25 cubic inches. If a cone has the same height and radius as the cylinder, what is its volume?8.06 cu. in.10.75 cu. in.21.5 cu. in.32.25 cu. in.

The volume of a cylinder is 32.25 cubic inches. If a cone has the same height and radius as the cylinder, what is its volume?

8.06 cu. in.

10.75 cu. in.

21.5 cu. in.

32.25 cu. in.