Glencoe Math: Course 3, Volume 2
GM
Glencoe Math: Course 3, Volume 2 View details
2. Volume of Cones
Continue to next subchapter

Exercise 18 Page 603

Use the formula for the volume of a cone.

Approximately 603.2 ft^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 given that the height of the cone is 16 feet. The radius of the base is 6 feet. Let's substitute these values into the formula and calculate the volume.

V=1/3Ï€ r^2 h
V=1/3Ï€ ( 6)^2 ( 16)
â–¼
Simplify right-hand side
V=1/3Ï€(36)(16)
V=1/3Ï€(576)
V=1/3(576Ï€)
V=576Ï€/3
V=192Ï€
V=603.185790...
V≈ 603.2

The volume of the cone is 603.2 cubic feet.