McGraw Hill Integrated II, 2012
MH
McGraw Hill Integrated II, 2012 View details
Mid-Chapter Quiz
Continue to next subchapter

Exercise 6 Page 840

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

D

A coaxial cable can be modeled by the following cylinder with a diameter of 3 inches and a height of h= 500 feet.
Since the diameter is 3 inches, the radius is r= 32=1.5 inches. We are asked to find the lateral area of the cable. First, let's find the length of the radius in feet. Since 1 inch is 1/12 feet, we get that r=1.5/12= 0.125 feet. Now, let's find the lateral area L.
L=2π r h
L=2π ( 0.125)( 500)
Evaluate right-hand side
L=125π
L=392.699081...
L≈ 392.7
Therefore, the lateral area of the cable is about 392.7 square feet. This corresponds to option D.