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How to find the minimum height and width of a cylinder containing n identical spheres?

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    $\begingroup$ I misjudged this question. As asked, it is trivial, but Joseph O'Rourke's answer indicates that there is an interesting question in the background. $\endgroup$ – Daniel Moskovich Feb 14 '13 at 14:35
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    $\begingroup$ See the literature on "the sausage conjecture". $\endgroup$ – Gerry Myerson Mar 17 '16 at 22:35
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Here is a 2012 paper whose references (and its now [Aug 2017] 26 subsequent citations) will lead you to literature on this topic:

A. Mughal, H. K. Chan, D. Weaire, and S. Hutzler. "Dense packings of spheres in cylinders: Simulations" Phys. Rev. E 85, 051305 (2012). (Journal link)


           SpheresInCylinder


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    $\begingroup$ Another recent reference for simulation is L. Fu, William Steinhardt, H. Zhao, J.E.S. Socolarb and P. Charbonneau "Hard sphere packings within cylinders" Soft Matter, 2016,12, 2505-2514 journal link $\endgroup$ – Paul Enta Mar 17 '16 at 20:24

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