A chin scratcher almost as classic as square peg vs. round
hole (Hint-Hint). The solver of this should not be shaken by the circles on the ends,
but rather embrace the symmetry of them.
Taking the third
dimensional view, you can simply slice along the center (cut the pie in half) the length
of the cylinder and you will have TWO, 2 dimensional rectangles of the greatest area.
ANY radial slices will expose smaller rectangles which are half that
area.
The slices from any section of the circle, made
parallel to each other will be of increasing area until they meet at the center point of
the circle. LASTLY, if you inscibed a square within the radius of the circle, you will
re-create a rectangular prism in its place.
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