EXAMPLE 3 Finding the Volume of a Cone Native Americans Many Native American tribes built tepees...
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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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Transcript of EXAMPLE 3 Finding the Volume of a Cone Native Americans Many Native American tribes built tepees...
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.
EXAMPLE 3 Finding the Volume of a Cone
SOLUTION
The radius is one half the diameter, so r = 6 ft.
V = πr2h13
Write formula for volume of a cone.
= π(6)2(12)13
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.
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 m3
ANSWER
GUIDED PRACTICE for Example 3
14. r = 4 in., h = 16 in.
268.08 in3
ANSWER
GUIDED PRACTICE for Example 3
15. r = 15 ft, h = 28 ft
6597.34 ft3
ANSWER
