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Dimensions of cone with smallest volume that can hold a cylinder

  1. Aug 12, 2011 #1
    1. The problem statement, all variables and given/known data
    A cylinder of height 45mm and radius 12mm is placed inside a circular cone.
    What are the dimensions of the cone with the smallest volume to enclose this cylinder


    2. Relevant equations
    v=1/3(pi)r^2h
    v=(pi)r^2h
    SA=2(pi)rh

    3. The attempt at a solution
    I substuted values into the cylinder equation and got 20,357mm^2 volume of cylinder and made an equation in terms of h and substitued into the cone formula but answer didnt work out.
    Final answer is r=18 and h=135
     
  2. jcsd
  3. Aug 13, 2011 #2

    vela

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    Please post your detailed calculations. Generic descriptions of what you tried aren't very helpful.
     
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