A solid has base the region enclosed by the ellipse

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

Problem

\dfrac{x^{2}}{9}+\dfrac{y^{2}}{4}=1

. Cross sections taken perpendicular to the

x

-axis are rectangles whose heights are

5

units while their bases lie entirely in the ellipse. Determine the area of the rectangular cross section at

x=1