Glencoe Math: Course 3, Volume 2
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Glencoe Math: Course 3, Volume 2 View details
3. Volume of Spheres
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Exercise 37 Page 612

Use the formulas for the volume of a cone.

about 2948.9 in.^3

Practice makes perfect

The given solid is a 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 11 inches and the radius of the base is 16 inches. Let's substitute these values into the formula and calculate the volume.

V=1/3Ï€ r^2 h
V=1/3Ï€ ( 16)^2 ( 11)
â–¼
Simplify right-hand side
V=1/3Ï€(256)(11)
V=1/3Ï€(2816)
V=1/3(2816Ï€)
V=2816Ï€/3
V=938.6Ï€
V=2948.908304...
V≈ 2948.9

The volume of the cone, rounded to the nearest tenth, is about 2948.9 cubic inches.