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