A company plans to construct a right circular cylinder can, with an open top, and a
volume of 180 cubic inches. The bottom of the can will be constructed from a material
which costs 5 cents per square inch, while the side will cost 3 cents per square inch. The
company is only able to purchase the materials in rectangular sheets, so there will be
some waste (which is still part of the cost) when cutting the circular bottom out
of a square sheet (as the figure below shows). Express the total cost of the can, C (in
cents), as a function of its radius r. Pay attention to units!