P.2.7 Packaging Costs For A Cylindrical Container A cardboard shipping container is to be made into the shape of a right circular cylinder with a volume of 167 fts. The material for the bottom and the top costs 23c/ft and the material for the sides costs 67c/ft-. h (a) Using the fact that the volume of the container is 167 fts, solve for h in terms of r. (b) Find an expression giving the cost of making the bottom and top of the container in terms of r. (c) Find an expression giving the cost of making the sides of the container in terms of r. (d) Using the results from (b)-(c), find a function C(r) giving the total cost of making the container as a function of r. (c) What is the cost of making the container if its radius is 3 ft.? Remember to include units in your