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As viewed from above, a swimming pool has the shape of the ellipse (x^2)/2500 + (y^2)/400=1 where x and y are in feet.

As viewed from above, a swimming pool has the shape of the ellipse (x^2)/2500 + (y^2)/400=1 where x and y are in feet. 

If the cross sections perpendicular to the ground a parallel to the y-axis are squares, find the total volume of the pool.

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Area of ellipse.png

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