Mathematics

Problem

The region bounded by the curve

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}

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

\pi^{2}

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