SOLUTION: Find the dimensions (radius and height) that give the minimum cost for producing cylindrically shaped aluminum cans with lids and a volume of 16pi in^3. How much would it cost to p

Question 1118294: Find the dimensions (radius and height) that give the minimum cost for producing cylindrically shaped aluminum cans with lids and a volume of 16pi in^3. How much would it cost to produce 100,000 cans if aluminum price is 0.03 cents/in^2?
Answer by josgarithmetic(39617) (Show Source): You can put this solution on YOUR website!
Look for minimum AREA for the minimum cost.

h, height
r, radius
A, area

------------------(technology is showing minimum at about r=2)

Need the NUMERATOR to be 0.

.
With this r value found for minimum A, the value for h, minimum A, can be evaluated, and also the corresponding cost.
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