Question

A cone and a cylinder have the same base and height, as shown below. A cone is inside of a cylinder with same base and height. The volume of the cylinder is 84 pi inches squared What can be concluded about the volume of the cone? Check all that apply.

Answer 1

The volume of the cone = 28 inch³

Explanation:

First let's consider the formula for the volume of the shapes

For cylinder

Volume= πr²h

For cone

Volume= 1/3 πr²h

So we'd notice that no much difference except that the volume if a cylinder is divided by two to get that off a cone.

So if the volume of the cylinder is

84π inch

The volume of the cone is 84/3 = 28

The volume of the cone = 28 inch³