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 3 Page 600

Use the formula for the volume of a cone.

235.6 m^3

Practice makes perfect

We are given a cone.

To find the volume, we can use the formula for the volume of a cone. V= 13π 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 9 meters. To find r we can divide the diameter d by 2.
r = d/2
r = 10/2
r = 5
The radius of the base is 5 meters. Let's substitute these values into the formula and calculate the volume.
V=1/3π r^2 h
V=1/3π ( 5)^2 ( 9)
Simplify right-hand side
V=1/3π(25)(9)
V=1/3π(225)
V=1/3(225π)
V=225π/3
V=75π
V=235.619449...
V≈ 235.6
The volume of the cone is 235.6 cubic meters.