Volume of Cones Find the volume of the figure. Use 3.14 for p.

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Volume of Cones Find the volume of the figure. Use 3.14 for p. Course 3 Volume of Cones Find the volume of the figure. Use 3.14 for p. B = (32) = 9 in2 1 3 V = • 9 • 10 V = Bh 1 3 V = 30  94.2 in3 Use 3.14 for .

Insert Lesson Title Here Course 3 Volume of Cones Insert Lesson Title Here A cone has a radius of 2 m and a height of 5 m. Explain whether doubling the height would have the same effect on the volume of the cone as doubling the radius. Double the Radius Double the Height Original Dimensions 1 3 V = pr2h = p(22)5  20.93 m3 V = pr2 (2h) = p(22)(2•5) = p(2 • 2)2(5) V = p (2r)2h  41.87 m3  83.73 m3 When the height of a cone is doubled, the volume is doubled. When the radius is doubled, the volume is 4 times the original volume.

Volume of Cones Example 3 Course 3 Volume of Cones Example 3 Find the volume of the figure. Use 3.14 for p. B = (32) = 9 m2 7 m 1 3 V = • 9 • 7 V = Bh 1 3 3 m V = 21  65.9 m3 Use 3.14 for .

Example 4: Exploring the Effects of Changing Dimensions Course 3 Volume of Cones Example 4: 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.

Example 5: Using a Calculator to Find Volume Course 3 Volume of Cones Example 5: Using a Calculator to Find Volume Use a calculator to find the volume of a cone to the nearest cubic centimeter if the radius of the base is 15 cm and the height is 64 cm. Use the pi button on your calculator to find the area of the base. p 2ND ^  15 B = pr2 X2 ENTER Next, with the area of the base still displayed, find the volume of the cone. V = Bh 1 3  64  ( 1 ÷ 3 ) ENTER The volume of the cone is approximately 15,080 cm3.