The Area of the Surface Generated by Revolving the Curve $x ( t ) = 4 - 3 \cos t,$

Multiple Choice

The area of the surface generated by revolving the curve with $x ( t ) = 4 - 3 \cos t,$ about the x-axis is

A) $\pi \ln \left( \frac { \pi + 4 } { 4 } \right)$
B) $6 \pi \ln \left( \frac { \pi - 2 } { 4 } \right)$
C) $6 \pi \ln \left( \frac { \pi + 2 } { 4 } \right)$
D) $6 \pi \ln \left( \frac { \pi + 2 } { 2 } \right)$
E) $6 \pi \ln \left( \frac { \pi - 2 } { 2 } \right)$