Big Ideas Math: Modeling Real Life, Grade 8
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Big Ideas Math: Modeling Real Life, Grade 8 View details
2. Volumes of Cones
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Exercise 12 Page 437

Use the formula for the volume of a cone.

≈ 2.1 ft^3

Practice makes perfect

We want to find the volume of a cone.

We can use the formula for the volume of a cone. V=1/3 B h Here, B is the area of the base and h is the height of the cone. Since the base is a circle, the area of the base will be equal to π r^2, where r is the radius. V= 1/3 π r^2 h We are given that the height of the cone is 2 feet and the radius of the base is 1 feet. Let's substitute these values into the formula and calculate the volume.
V=1/3π r^2 h
V=1/3π ( 1)^2 ( 2)
Evaluate right-hand side
V=1/3π(1)(2)
V=1/3π(2)
V=1/3(2π)
V=2π/3
V=2.094395...
V≈ 2.1
The volume of the cone is about 2.1 cubic feet.