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 20 Page 603

Use the formula for the volume of a cone.

Approximately 132.5in^3

Practice makes perfect

We are told that a cone has a height of 9 inches and a base whose diameter is 7 12 inches. Let's start by drawing it.

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 already know that the height of the cone is 9 inches. To find r we can divide the diameter d by 2.

r = d/2
r = 7 12/2
â–¼
Evaluate right-hand side
r = 152/2
r = 1/2 (15/2)
r = 15/4

The radius of the base is 154 inches. Let's substitute these values into the formula and calculate the volume.

V=1/3Ï€ r^2 h
V=1/3Ï€ ( 15/4)^2 ( 9)
â–¼
Evaluate right-hand side
V=1/3Ï€ (225/16) (9)
V=1/3Ï€ (2025/16)
V=1/3 (2025/16)Ï€
V=2025/48Ï€
V=132.535940...
V≈ 132.5

The volume of the cone is about 132.5 cubic inches.