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?
The surface area of the can excluding the lids is expressed as Circumference $\times$ Height.  Therefore, since the height is 6 inches, the circumference is $10\pi$.  Since Circumference $= 2\pi r$, we have radius = $\boxed{5\text{ inches}}$.