The region bounded by and for is revolved about the line

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

Problem

The region bounded by

y=x^{2}

and

y=4

for

-2\le x\le2

is revolved about the line

y=1

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

\dfrac{448\pi}{15}

(b)

32\pi

(c)

\dfrac{524\pi}{15}

(d)

\dfrac{232\pi}{15}