Acompany plans to manufacture a container having the shape of a right circular cylinder, open at the top, and having a capacity of 24 π cubic inches. if the cost of the material for the bottom is $0.30 per square inch and that for the curved sides is $0.10 per square inch, express the total cost c, in dollars, of the material as a function of the radius r of the base of the container. the volume v of a right circular cylinder of radius r and height h is v=pi r^2 h; the surface area s of this same open cylinder is s= pi r^2 + 2 pi rh.