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 15 Page 431

Use the formula for the volume of a cylinder.

256π cubic centimeters or 804.2 cubic centimeters

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 diameter of the cylinder, we know that the radius of the cylinder is the half of the diameter. r = diameter/2 ⇒ r=8/2=4 Here, we find that r=4 centimeters and we are given the height h=16 centimeters. Now we can substitute them into the formula and calculate V.
V=π r^2 h
V=π ( 4)^2 ( 16)
Solve for V
V=π (16)(16)
V=256π
V=256( 3.141592...)
V=804.247719...
V ≈ 804.2
Therefore, the volume of the given cylinder is 256π cubic centimeters or about 804.2 cubic centimeters.