volume of cones unit 3: geometric applications of exponents

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Volume of Cones Unit 3: Geometric Applications of Exponents

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Page 1: Volume of Cones Unit 3: Geometric Applications of Exponents

Volume of ConesUnit 3: Geometric Applications of

Exponents

Page 2: Volume of Cones Unit 3: Geometric Applications of Exponents

A Cone is a three dimensional solid with a circular base and a curved surface that gradually narrows to a vertex.

Volume of a Cone

=

+ + =

Volume of Cones

Page 3: Volume of Cones Unit 3: Geometric Applications of Exponents

Find the volume of a cylinder with a radius r=1 m and height h=2 m. Find the volume of a cone with a radius r=1 m and height h=1 m

Volume of a Cylinder = base x height = pr2h

= 3.14(1)2(2)

= 6.28 m3

Volume of a Cone =

= (3.14 × 12 × 2) ÷ 3

= 2.09 m3

Volume of Cones

Page 4: Volume of Cones Unit 3: Geometric Applications of Exponents

Volume of Cones

Page 5: Volume of Cones Unit 3: Geometric Applications of Exponents

1. Find the volume of the figure. Use 3.14 for p.

Volume of Cones

Page 6: Volume of Cones Unit 3: Geometric Applications of Exponents

7 m

3 m

Volume of Cones

2. Find the volume of the figure. Use 3.14 for p.

Page 7: Volume of Cones Unit 3: Geometric Applications of Exponents

4 ft

2 ft

Volume of Cones

3. Find the volume of the figure. Use 3.14 for p.

Page 8: Volume of Cones Unit 3: Geometric Applications of Exponents

10 ft

4 ft

Volume of Cones

4. Find the volume of the figure. Use 3.14 for p.