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A rectangle with vertices A(0,0), B(5,0), C(5,3) and D(0,3) is graphed in a coordinate plane. The rectangular region determined by those points is rotated $360^\circ$ about the line $y=-2$, forming a geometric solid. The rectangular region is then rotated $360^\circ$ about the $x=-5$, forming another geometric solid. How many cubic units are in the positive difference between the volumes of those two geometric solids? Express your answer in terms of $\pi$.

 
 Mar 18, 2024

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