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    • Keywords


      Radius of a ball, axis of a cylinder, radius of a cylinder, plane cut, mu-tually orthogonal axes.

    • Abstract


      Suppose that we are allowed to drill a cylindrical hole of any radius through the center of a unit ball or a unit cube in a given direction. Which radius will maximize the total exposed surface area (ESA) of the finished object? If we are allowed to drill two or three mutually orthogonal cylindrical holes of the same radius, which common radius will maximize the total ESA?

    • Author Affiliations


      Jaskirat Kaur1 Jasmeen Lally1 Jyotirmoy Sarkar1

      1. Indiana University-Purdue University Indianapolis School of Science 402 N Blackford Street Indianapolis, IN 46202, USA
    • Dates


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