Problem

March Break 2024 - Problem 6

The graph \lfloor x \rfloor - \lfloor y \rfloor = 0 is graphed for all 0 \le x,y \le 24. When this graph is rotated around the line y=x, the resulting figure has a volume of \pi\sqrt{x}. Find x.


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Problem Tags: 3-d Algebra Geometry

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