Calculate the volume

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

Problem

Calculate the volume, in cubic units, of the solid obtained when the region bounded by

y=\sqrt{x}

y=0

, and

x=4

is revolved about the vertical line

x=6

. (a)

\displaystyle\frac{128\pi}{5}

(b)

\displaystyle\frac{96\pi}{5}

(c)

\displaystyle\frac{192\pi}{5}

(d)

\displaystyle\frac{232\pi}{5}