# As viewed from above, a swimming pool has the shape of the ellipse x^2/4900+y^2/2500=1 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.

Question

As viewed from above, a swimming pool has the shape of the ellipse

x^2/4900+y^2/2500=1

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.