Let be the region bounded by the curves ,

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

Problem

Let

R

be the region bounded by the curves

y=x^{2}

y=4

, and

x=0

. When

R

is revolved about the vertical line

x=5

, what is the volume of the solid formed? (a)

\dfrac{160\pi}{3}

(b)

\dfrac{136\pi}{3}

(c)

\dfrac{112\pi}{3}

(d)

\dfrac{68\pi}{3}