A conical bin must have a volume of 2500 ft^3. The circular base is made of a concrete slab, which will cost $1.30 per square foot, and the material for the side costs $3.50 per square foot. Find the dimensions that minimize the total cost. You'll probably have to poke around a bit to find the formula for the surface area of a cone. Sketch a graph of the objective function, and check your calculus answer by locating the minimum on your calculator.