The graph of and the –axis bound a region on the interval

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

Problem

The graph of

y=x(4-x)

and the

x

–axis bound a region on the interval

0\le x\le 4

. When this region is revolved about the line

y=5

, what is the exact volume of the solid generated? (a)

\dfrac{2176\pi}{15}

(b)

\dfrac{1088\pi}{15}

(c)

\dfrac{988\pi}{15}

(d)

\dfrac{544\pi}{15}