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 15 Page 603

Use the formula for the volume of a cone.

Approximately 2989.8 mm^3

Practice makes perfect

Consider the given cone. Its height is 15.9 milimeters and the radius of the base is 13.4 milimeters.

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 15.9 milimeters. The radius of the base is 13.4 milimeters. Let's substitute these values into the formula and calculate the volume.
V=1/3π r^2 h
V=1/3π ( 13.4)^2 ( 15.9)
Simplify right-hand side
V=1/3π(179.56)(15.9)
V=1/3π(2855.004)
V=1/3(2855.004π)
V=2855.004π/3
V=2989.753197...
V≈ 2989.8
The volume of the cone is 2989.8 cubic milimeters.