SOLUTION: a soup can is tol hold 600 mL of soup. Determine the dimensions of the can with minimum surface area

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Question 715053: a soup can is tol hold 600 mL of soup. Determine the dimensions of the can with minimum surface area
Answer by Alan3354(69443) About Me  (Show Source):
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a soup can is tol hold 600 mL of soup. Determine the dimensions of the can with minimum surface area
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Vol+=+pi%2Ar%5E2%2Ah
--> h+=+Vol%2F%28pi%2Ar%5E2%29%0D%0A%0D%0A%7B%7B%7BSA+=+2pi%2Ar%5E2+%2B+2pi%2Ar%2Ah (2 ends and the lateral surface)
sub for h
SA+=+2pi%2Ar%5E2+%2B+2%2AVol%2Fr
dSA%2Fdr+=+4pir+-+2%2AVol%2Fr%5E2+=+0
2%2Api%2Ar+=+Vol%2Fr%5E2
Vol+=+2%2Api%2Ar%5E3
r+=+root%283%2C%28600%2F%282pi%29%29%29
r =4.57078 cm
h = 9.1456 (= 2r)