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 17 Page 603

Use the formula for the volume of a cone.

Approximately 398.2 m^3

Practice makes perfect

Consider the given 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 told that the height of the cone is 9 meters. The radius of the base is 6.5 meters. Let's substitute these values into the formula and calculate the volume.

V=1/3Ï€ r^2 h
V=1/3Ï€ ( 6.5)^2 ( 9)
â–¼
Simplify right-hand side
V=1/3Ï€(42.25)(9)
V=1/3Ï€(380.25)
V=1/3(380.25Ï€)
V=380.25Ï€/3
V=126.75Ï€
V=398.196869...
V≈ 398.2

The volume of the cone is 398.2 cubic meters.