A solid is formed by taking vertical cross sections of a planar region
MATHEMATICS · Single correct · AP · Calculus AB · Applications of Integration · Applications of Integration
Problem
A solid is formed by taking vertical cross sections of a planar region. If the cross sections are changed from squares to rectangles whose height is twice the base width, which of the following best describes the effect on the volume, assuming the planar region remains the same?
(a) The volume is halved; each cross-sectional area is 21 the original.
(b) The volume is unchanged; the planar region alone determines the volume.
(c) The volume is doubled; each cross-sectional area is multiplied by 2.
(d) The volume is multiplied by 4; each cross-sectional area is multiplied by 4.