Let the base of a solid be the region in the (xy )-plane bounded by the vertical…

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

Problem

Let the base of a solid be the region in the

xy

-plane bounded by the vertical lines

x=y+1

and

x=3

for

0\le y\le 2

. For each

y

in this interval, the cross section perpendicular to the

y

-axis is a rectangle whose width is the horizontal distance between the two lines and whose height is

4y

. Find the volume of the solid.