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 1 Page 600

Use the formula for the volume of a cone.

2668.3 m^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 13 meters. The radius of the base is 14 meters. Let's substitute these values into the formula and calculate the volume.

V=1/3Ï€ r^2 h
V=1/3Ï€ ( 14)^2 ( 13)
â–¼
Simplify right-hand side
V=1/3Ï€(196)(13)
V=1/3Ï€(2548)
V=1/3(2548Ï€)
V=2548Ï€/3
V=2668.259360...
V≈ 2668.3

The volume of the cone is 2668.3 cubic meters.