Big Ideas Math: Modeling Real Life, Grade 8
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Big Ideas Math: Modeling Real Life, Grade 8 View details
1. Volumes of Cylinders
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Exercise 13 Page 431

Use the formula for the volume of a cylinder.

245π cubic feet or 769.7 cubic feet

Practice makes perfect

We are given the following cylinder and we want to find the value of its volume.

The volume of a cylinder with the radius r and height h can be calculated by the following formula. V=π r^2 h Since we are given the radius and height of the cylinder, we can substitute them into the formula and calculate its volume.
V=π r^2 h
V=π ( 7)^2 ( 5)
Solve for V
V=π (49)(5)
V=245π
V=245( 3.141592...)
V=769.690200...
V ≈ 769.7
Therefore, the volume of the given cylinder is 245π cubic feet or about 769.7 cubic feet.