The region bounded by and is revolved about the –axis

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

Problem

The region bounded by

y=x^{2}

and

y=4

is revolved about the

x

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

\dfrac{512\pi}{15}

(b)

\dfrac{128\pi}{5}

(c)

\dfrac{256\pi}{5}

(d)

\dfrac{176\pi}{3}