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Cylindrical optimization problem

  1. May 10, 2009 #1
    A closed cyliindrical container has a volume of 5000in^3. The top and the bottom of the container costs 2.50$in^2 and the rest of the container costs 4$in^2. How should you choose height and radius in order to minimize the cost?


    v=pi(r)^2



    Unfortunately my attempt at this problem is feeble.
    I have trouble finding two equations.
    past that, i can derive them and solve.
    any help would be most appreciated,
    thankss
     
  2. jcsd
  3. May 10, 2009 #2
    Write an equation using the fact that the volume of the cylinder is known.
    This will help you relate height and radius of the container.
    Use this in the expression to be minimized.
     
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