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EXAMPLE 3 Finding the Volume of a Cone Native Americans Many Native American tribes built tepees that were similar to a cone in shape. A tepee has a height of 12 feet and a base diameter of 12 feet. Approximate the volume of the tepee.

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EXAMPLE 3 Finding the Volume of a Cone SOLUTION The radius is one half the diameter, so r = 6 ft. V = πr 2 h 1 3 Write formula for volume of a cone. = π(6) 2 (12) 1 3 Substitute 6 for r and 12 for h. = 144π Simplify. = 452.389 Evaluate using a calculator. ANSWER The tepee has a volume of about 452 cubic feet.

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GUIDED PRACTICE for Example 3 Find the volume of the cone with radius r and height h. 13. r =24 m, h = 18 m 10,857.34 m 3 ANSWER

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GUIDED PRACTICE for Example 3 14. r = 4 in., h = 16 in. 268.08 in 3 ANSWER

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GUIDED PRACTICE for Example 3 15. r = 15 ft, h = 28 ft 6597.34 ft 3 ANSWER

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