A can in the shape of a right circular cylinder is required to have a volume of 500 cubic centimeters. The top and bottom are made of material that costs 60 per square centimeter, while the sides are made of material that costs 4¢ per square centimeter.

(a) Express the total cost C of the material as a function of the radius r of the cylinder. (Refer to Figure 43.)

Figure 43

(b) Graph C = C(r). For what value of r is the cost C a minimum?

Transcribed Image Text:

Top Area = mr2 Lateral Surface Area = 2mrh Area = r2 Bottom