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 11 Page 437

Use the formula for the volume of a cone.

≈ 261.8 mm^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 10 millimeters and the radius of the base is 5 millimeters. Let's substitute these values into the formula and calculate the volume.
V=1/3π r^2 h
V=1/3π ( 5)^2 ( 10)
Evaluate right-hand side
V=1/3π(25)(10)
V=1/3π(250)
V=1/3(250π)
V=250π/3
V=261.799387...
V≈ 261.8
The volume of the cone is about 261.8 cubic millimeters.