# As viewed from above, a swimming pool has the shape of the ellipsey?1,9002500where x and y are measured in feet. The cross sections perpendicular to the x-axis are squares. Find the total volume of the pool.V =cubic feet

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4 views help_outlineImage TranscriptioncloseAs viewed from above, a swimming pool has the shape of the ellipse y? 1, 900 2500 where x and y are measured in feet. The cross sections perpendicular to the x-axis are squares. Find the total volume of the pool. V = cubic feet fullscreen
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Step 1

Suppose that the x and y axes are places so that the origin is at the center of the pool. Observe that each vertical strip perpendicular to the x-axis is in the shape of a square.

Because we have the origin of our coordinate system in the center of the pool, the y-coordinate for each value of x equals half o...

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### Calculus 