Volume of a cross section

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Q: A volume sits above the ellipse in the xy-plane $\frac{x^2}{4} + y^2 = 1$ Each x cross section is a square, with side touching the top and bottom of the ellipse. What is the volume?

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Just like the previous question you have asked, $$ V = \int\limits_{-2}^2 4 - x^2 \ \mathrm{d}x $$ Explanation: Same as Volume using cross sections