8-6 Volume of Pyramids and Cones

Course 3

Warm Up

1. 2. A cylinder has a height of 4.2 m and a diameter of 0.6 m. To the nearest tenth of a cubic meter, what is the volume of the cylinder? Use 3.14 for .

1.2 m3

Course 3

8-6 Volume of Cones

Learn to find the volume of cones.

Course 3

8-6 Volume of Cones

Vocabulary

cone

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Course 3

8-6 Volume of Cones

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Course 3

8-6 Volume of Cones

A cone has a circular base. The height of a pyramid or cone is measured from the highest point to the base along a perpendicular line.

Course 3

8-6 Volume of Cones

VOLUME OF PYRAMIDS AND CONES

(22)

Course 3

8-6 Volume of Cones

Course 3

8-6 Volume of Cones

Additional Example 1B: Finding the Volume of Pyramids and Cones

13V = • 9 • 10

V = 30 94.2 in3

V = Bh13

B = (32) = 9 in2

Use 3.14 for .

Find the volume of the figure. Use 3.14 for .

Course 3

8-6 Volume of Cones

13V = • 9 • 7

V = 21 65.9 m3

V = Bh13

B = (32) = 9 m2

Use 3.14 for .

Check It Out: Example 1B

7 m

3 m

Find the volume of the figure. Use 3.14 for .

Course 3

8-6 Volume of Cones

13V = • 9 • 6

V = 18 56.5 m3

V = Bh13

B = (32) = 9 m2

Use 3.14 for .

Word Problem

6 m

3 m

An ice cream package is cone shaped. It has a radius of 3 cm and a height of 6 cm. Find the volume of the cone? Use 3.14 for .

Course 3

8-6 Volume of Cones

Additional Example 2: Exploring the Effects of Changing Dimensions

A cone has a radius of 3 ft. and a height of 4 ft. Explain whether tripling the height would have the same effect on the volume of the cone as tripling the radius.

When the height of the cone is tripled, the volume is tripled. When the radius is tripled, the volume becomes 9 times the original volume.

Lesson Practice

Find the volume of each figure to the nearest tenth. Use 3.14 for .

78.5 in3

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Course 3

8-6 Volume of Cones

1. the cone