The region in the first quadrant bounded by the line

MATHEMATICS · Single correct · AP · Calculus AB · Applications of Integration · Applications of Integration

Problem

x = y+1

, the

y

-axis, and the lines

y=0

and

y=3

is revolved about the

y

-axis. Determine the volume of the resulting solid. (a)

42\pi

(b)

18\pi

(c)

21\pi

(d)

7\pi