The region bounded by the curve

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

Problem

y=1+\cos x

, the

x

-axis, and the lines

x=0

and

x=\pi

is revolved about the line

y=1

. What is the exact volume of the resulting solid? (a)

\dfrac{3\pi^{2}}{2}

(b)

\dfrac{\pi^{2}}{2}

(c)

\pi^{2}

(d)

\dfrac{\pi^{2}}{4}