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.

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Mathematics

6 November, 11:33

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.

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Answers (1)

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Tyrell Frazier · Answer 1

The volume of the cone = 28 inch³

Step-by-step 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