Glencoe Math: Course 3, Volume 2
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Glencoe Math: Course 3, Volume 2 View details
2. Volume of Cones
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Exercise 16 Page 603

Use the formula for the volume of a cone.

Approximately 284.8 ft^3

Practice makes perfect

Consider the given cone.

To find the volume, we can use the formula for the volume of a cone. V= 13Ï€ r^2 h Here, r is the radius and h is the height of the cone. We are given that the height of the cone is 17 feet. The radius of the base is 4 feet. Let's substitute these values into the formula and calculate the volume.

V=1/3Ï€ r^2 h
V=1/3Ï€ ( 4)^2 ( 17)
â–¼
Simplify right-hand side
V=1/3Ï€(16)(17)
V=1/3Ï€(272)
V=1/3(272Ï€)
V=272Ï€/3
V=284.837734...
V≈ 284.8

The volume of the cone is 284.8 cubic feet.