The region enclosed by the graphs of and is revolved about the line

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

Problem

The region enclosed by the graphs of

y = x^{2}

and

y = 4

is revolved about the line

y = -1

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

\dfrac{544\pi}{15}

(b)

\dfrac{1088\pi}{15}

(c)

\dfrac{768\pi}{15}

(d)

\dfrac{1308\pi}{15}