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 4 Page 600

Use the formula for the volume of a cone.

Approximately 254 469.0 mm^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 120 milimeters The radius of the base is 45 milimeters. Let's substitute these values into the formula and calculate the volume.
V=1/3π r^2 h
V=1/3π ( 45)^2 ( 120)
Simplify right-hand side
V=1/3π(2025)(120)
V=1/3π(243 000)
V=1/3(243 000π)
V=243 000π/3
V=81 000π
V=254 469.004941...
V≈ 254 469.0
The volume of the cone is 254 469.0 cubic milimeters.