You plan to build a cylindrical container with no top. the material used for the lateral sides costs $6 per square foot while the material for the bottom costs $9 per square foot. (a) express the surface area of the open cylinder in terms of the cylinder's radius, r, and height, h. s = (b) express the cost of building the open cylinder in terms of the cylinder's radius, r, and height, h. c = (c) if the volume of the cylindrical container is 500 cubic feet, express the cost of building the cylinder, c in terms of the cylinder's radius, r. c(r) = (d) if the volume of the cylindrical container is v cubic feet, express the cost of building the cylinder, c in terms of the cylinder's radius, r. note - your answer will have v in it, but v is a constant here. use an upper case v. c(r) =