Find the Volume of the Solid Obtained by Rotating the Region

Multiple Choice

Find the volume of the solid obtained by rotating the region bounded by the given curves about the specified line. $y=\ln x, y=1, y=3, x=0 \text {; about the } y \text { - axis }$

A) $\frac{\pi}{2}\left(e^{3}+1\right)$
B) $\frac{\pi}{2}\left(e^{6}-e^{2}\right)$
C) $\frac{e^{6}}{2}$
D) $\frac{e^{6}-e^{3}}{2}$
E) None