The region bounded by the curve and the –axis is revolved about the –axis

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

Problem

The region bounded by the curve

y=4-x^{2}

and the

x

–axis is revolved about the

x

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

\dfrac{256\pi}{15}

(b)

\dfrac{1024\pi}{15}

(c)

\dfrac{512\pi}{15}

(d)

\dfrac{160\pi}{15}