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Putnam 1938 A4

  • Session A
  1. A lumberman wishes to cut down a tree whose trunk is cylindrical and whose material is uniform. He will cut a notch, the two sides of which will be planes intersecting at a dihedral angle θ\theta along a horizontal line through the axis of the cylinder. If θ\theta is given, show that the least volume of material is cut out when the plane bisecting the dihedral angle is horizontal.

Dataset text PutnamGAP. Quoted with source.

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