Cost of a Can 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 0.06 ¢ per square centimeter, while the sides are made of material that costs 0.04 ¢ 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 50.) (b) Graph C = C ( r ) . For what value of r is the cost C a minimum?
Cost of a Can 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 0.06 ¢ per square centimeter, while the sides are made of material that costs 0.04 ¢ 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 50.) (b) Graph C = C ( r ) . For what value of r is the cost C a minimum?
Solution Summary: The author explains the total cost of the material as a function of radius r.
Cost of a Can 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
per square centimeter, while the sides are made of material that costs
per square centimeter.
(a) Express the total cost
of the material as a function of the radius
of the cylinder. (Refer to Figure 50.)
(b) Graph
. For what value of
is the cost
a minimum?
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