SOLUTION: A block of metal is melted and cast into a solid cylinder whose volume is 10cm^3. Show that the cylinder has a minimum surface area when r = 3* root 5 over pi.

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Question 1137548: A block of metal is melted and cast into a solid cylinder whose volume is 10cm^3. Show that the cylinder has a minimum surface area when r = 3* root 5 over pi.
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
A block of metal is melted and cast into a solid cylinder whose volume is 10cm^3. Show that the cylinder has a minimum surface area when r = 3* root 5 over pi.
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r+=+3%2Asqrt%285%29%2Fpi
Or r+=+3%2Asqrt%285%2Fpi%29
Which is it?
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If the ends are included:
SA+=+2pi%2Ar%2Ah+%2B+2pi%2Ar%5E2
Are the ends included?
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