A cylindrical can that is six inches high has a label that is $60\pi$ square inches in area and exactly covers the outside of the can excluding the top and bottom lids. What is the radius of the can, in inches?

If we unwrapped the label, we would have a rectangle whose dimensions woud be :

6 * circumference of the can = area of the label

So....we have that

6 * 2*pi*r = 60 pi .... divide out pi

12r = 60 divide both sides by 12

r = 5 in = radius of the can