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 14 Page 431

Use the formula for the volume of a cylinder.

250π cubic feet or 785.4 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 ( 5)^2 ( 10)
Solve for V
V=π (25)(10)
V=250π
V=250( 3.141592...)
V=785.398163...
V ≈ 785.4
Therefore, the volume of the given cylinder is 250π cubic feet or about 785.4 cubic feet.