Find the Total Volume of a Pool:
As viewed from above, a swimming pool has the shape of the ellipse
x^2/900+y^2/400 = 1
The cross sections perpendicular to the ground and parallel to the y-axis are squares. Find the total volume of the pool. (Assume the units of length and area are feet and square feet respectively. Do not put units in your answer.)
how do I do this problem?
I've tried several different formulations, and I figured the answer was Int (subscript -30, superscript 30) (X^2)-900 dx but this does not appear to be the correct answer.