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 38 Page 612

Use the formulas for the volume of a cone.

about 452.4 cm^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= 13π r^2 h Here, r is the radius and h is the height of the cone. In the diagram we can see that the height of the cone is 15cm. and the diameter is 12cm Therefore, the radius is 12÷ 2= 6cm. Let's substitute these values into the formula and calculate the volume.

V=1/3Ï€ r^2 h
V=1/3Ï€ ( 6)^2 ( 12)
â–¼
Simplify right-hand side
V=1/3Ï€(36)(12)
V=1/3Ï€(432)
V=1/3(432Ï€)
V=432Ï€/3
V=144Ï€
V=452.389342...
V≈ 452.4

The volume of the cone is about 452.4 cubic centimeters.