McGraw Hill Integrated II, 2012
MH
McGraw Hill Integrated II, 2012 View details
2. Surface Areas of Prisms and Cylinders
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Exercise 4 Page 817

The lateral area of a right cylinder is L=2π r h, where r is the radius of the cylinder and h is the height of the cylinder.

About 263.9 square inches

Practice makes perfect
A new tire rim can be modeled by the following right cylinder. We are asked to find the lateral area of the rim and round our answer to the nearest tenth. The lateral area of a right cylinder is L=2π r h, where r is the radius of the cylinder and h is the height of the cylinder. This means that h= 6 inches. Since the diameter is 14 inches, the radius is r= 142= 7 inches. Now, let's find L!
L=2π r h
Substitute values and evaluate
L=2π ( 7)( 6)
L=84π
L=263.893782...
L≈ 263.9
The lateral area of the rim is about 263.9 square inches.