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 25 Page 603

Use the formula for the volume of a cone.

Approximately 4.5m

Practice makes perfect

We are given that the volume of a cone is 42.39 cubic meters and the radius of the base is 3 meters.

To find the height, 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. We are given that the radius of the cone is 3 meters. The volume is 42.39 cubic meters. Let's substitute these values into the formula and solve for the height h.
V=1/3π r^2 h
42.39=1/3π ( 3)^2 h
Solve for h
42.39 = 1/3 π (9) h
42.39 = 1/3 (9)π h
42.39 = 9/3π h
42.39 = 3 π h
14.13 = π h
14.13/π = h
h = 14.13/π
h = 4.497719...
h ≈ 4.5
We found out that the height of the cone is approximately 4.5 meters.