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 27 Page 603

Use the formula for the volume of a cone.

Approximately 3.0yd

Practice makes perfect

We are given a cone.

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 2.5 yards. The volume is 19.625 cubic yards. Let's substitute these values into the formula and solve for the height h.
V=1/3π r^2 h
19.625=1/3π ( 2.5)^2 h
Solve for h
19.625 = 1/3 π (6.25) h
19.625 = 1/3 (6.25)π h
58.875 = 6.25π h
9.42 = π h
9.42/π = h
h = 9.42/π
h = 2.998479...
h ≈ 3.0
We found out that the height of the cone is approximately 3.0 yards.