Diet lemonade. A company packages its powdered diet lemonade mix in containers in the shap...

Diet lemonade. A company packages its powdered diet lemonade mix in containers in the shape of a cylinder. The top and bottom are made of a tin product that costs 5 cents per square inch. The side of the container is made of a cheaper material that costs 1 cent per square inch. The height of any cylinder can be found by dividing its volume by the area of its base.

a. Assuming that x is the radius of the base (in inches), write a rational expression in x whose values give the cost of each container, assuming that the capacity of the container is 120 cubic inches.

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b. Find the cost of a container whose base is 4 inches in diameter, using 3.14 as an approximation of π.