The answer to this question hinges upon the size and shape of the swimming pool. Sorry.
On second thought Exactly One
It will span the whole pool.
People shoot pool because they want the water molecules to arrange themselves in a triangle pattern with only one strike of the cue and this makes them believe they are not as bald as a cue ball which is another representation of a water molecule.
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How many gallons will fit into a 24 foot diameter x 4 foot high round swimming pool
Cannot be answered with only these measurements. For a rectangular pool, the length, width and depth are needed. For a round pool, the diameter and depth are needed.
1o triangles
It depends on the size of the square and the sizes and shapes of the triangles.
2