A solid has base the region inside the ellipse

MATHEMATICS · Subjective · AP · Calculus AB · Applications of Integration · Applications of Integration

Problem

A solid has base the region inside the ellipse x29+y24=1\dfrac{x^{2}}{9}+\dfrac{y^{2}}{4}=1. Cross sections perpendicular to the xx-axis are rectangles whose heights are twice the lengths of their bases. Compute the volume of this solid.

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