Volume of Cones Section 8.2

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Presentation transcript:

Volume of Cones Section 8.2

Volume of a Cone The volume of a cone is the number of unit cubes, or cubic units, needed to fill the cone. The formula for the volume of a cone is 1/3 the product of the base Area and the height of the cone. V= 1/3 Bℎ

Volume of a Cone Since the base of a cone is always a circle, you can substitute π r² for B. V= 1/3 πr²ℎ The volume of a cone is 1/3 the volume of a cylinder with the same dimensions.

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To the nearest tenth, what is the volume of the cone; in terms of π? Volume of a Cone To the nearest tenth, what is the volume of the cone; in terms of π?

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Volume of a Cone You are making bug repellant candles for an outdoor barbecue. What is the volume of wax needed for one of the candles? Use 3.14 for π. V = 1/3 B h B = πr² π (5)² 25π 3.14 x 25 78.5 V = 1/3 (78.5)(6) V = 157 in.³

1.5 in. 2 in. 4 in. 5 in.

6 in. 3 in. 3 in. 4 in.