The base of a solid is the region inside the ellipse

MATHEMATICS · Single correct · 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 height is twice the length of the base in the region. What is the volume of the solid? (a)

96

(b)

128

(c)

64

(d)

256