SOLUTION: A cardboard can with metal ends is to be constructed. The diameter of the metal ends is to be 8 inches and the height of the can is to be 5 inches. Answer the following questions b

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Question 475691: A cardboard can with metal ends is to be constructed. The diameter of the metal ends is to be 8 inches and the height of the can is to be 5 inches. Answer the following questions by clearly showing your work. A.) How much metal, and how much cardborad is needed to construct such a can? B.) What is the capacity of the can?
Answer by lwsshak3(11628) About Me  (Show Source):
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A cardboard can with metal ends is to be constructed. The diameter of the metal ends is to be 8 inches and the height of the can is to be 5 inches. Answer the following questions by clearly showing your work. A.) How much metal, and how much cardborad is needed to construct such a can? B.) What is the capacity of the can?
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A) metal needed:
Area of one metal end=πr^2
r=8/2=4
Area of two metal ends=2π4^2=32π in^2
metal needed=100.53 in^2
..
Cardboard needed:
Area=circumference*height
Area=2πr*5=40π in^2
Cardboard needed=125.66 in^2
..
B) Capacity of can
Volume=area of metal end*height
Volume=32π*5=160π in^3
Capacity of can = 502.65 in^3