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 3 Page 429

Use the formula for the volume of a cylinder.

1.5 meters

Practice makes perfect

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

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 volume and height of the cylinder, we can substitute them into the formula and calculate its radius.
V=π r^2 h
28=π r^2 ( 4)
Solve for r
28=4π r^2
28/4π=4π r^2/4π
4(7)/4π=4π r^2/4π
4(7)/4π=4π r^2/4π
7/π=r^2
7/3.141592...=r^2
2.228169...=r^2
r^2=2.228169...
r=sqrt(2.228169...)
r=1.492705...
r ≈ 1.5
Therefore, the height of the cylinder is about 1.5 meters.