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 24 Page 603

Use the formula for the volume of a cone.

Approximately 7in.

Practice makes perfect

We are given that the volume of a cone is 593.46 cubic inches and the radius of the base is 9 inches.

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 9 inches. The volume is 593.46 cubic inches. Let's substitute these values into the formula and solve for the height h.
V=1/3π r^2 h
593.46=1/3π ( 9)^2 h
Solve for h
593.46 = 1/3 π (81) h
593.46 = 1/3 (81)π h
593.46 = 81/3π h
593.46 = 27 π h
21.98 = π h
21.98/π = h
h = 21.98/π
h = 6.996452...
h ≈ 7
We found out that the height of the cone is approximately 7 inches.