Solve the Problem $y = \ln x$ , The $x$ -Axis, and the Vertical Line

Multiple Choice

Solve the problem.
-Find the volume of the solid generated by revolving the region bounded by the curve $y = \ln x$ , the $x$ -axis, and the vertical line $x = e ^ { 2 }$ about the $x$ -axis.

A) $\pi \left( e ^ { 2 } - 1 \right)$
B) $\pi ( e - 1 )$
C) $2 \pi \left( \mathrm { e } ^ { 2 } - 1 \right)$
D) $\pi \mathrm { e }$