Mathematics

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}

\dfrac{136\pi}{3}

\dfrac{112\pi}{3}

\dfrac{68\pi}{3}