Find the Volume of the Solid Generated by Revolving the Region

Multiple Choice

Find the volume of the solid generated by revolving the region in the first quadrant bounded by $y = e ^ { x }$ and the $x$ -axis, from $x = 0$ to $x = \ln 3$ , about the $y$ -axis.

A) $3 \pi \ln 3$
B) $6 \pi \ln 3$
C) $2 \pi ( 3 \ln 3 - 3 )$
D) $2 \pi ( 3 \ln 3 - 2 )$