You plan to build a cylindrical container with no top. The material used for the lateral sides costs $4per square foot while the material for the bottom costs $5per 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 is300cubic feet, express the cost of building the cylinder,Cin terms of the cylinder's radius,r.

C(r) =

(d) If the volume of the cylindrical container isVcubic feet, express the cost of building the cylinder,Cin terms of the cylinder's radius,r. Note - Your answer will haveVin it, butVis a constant here. Use an upper caseV.

o 0/4 points Previous Answers [Q My Notes You plan to build a cylindrical container with no top. The material used for the lateral sides costs $4 per square foot while the material for the bottom costs $5 per square foot. (a) Express the surface area of the open cylinder in terms of the cylinder's radius, r, and height, h. S= X (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 300 cubic feet, express the cost of building the cylinder, C in terms of the cylinder's radius, r. C(I') = (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 Vis a constant here. Use an upper case V. C(r) = Submit