Find the Area of the Surface Obtained by Rotating the Curve

Multiple Choice

Find the area of the surface obtained by rotating the curve about the $y$ -axis. Select the correct answer.
$$y = \frac { 1 } { 4 } x ^ { 2 } - \frac { 1 } { 2 } \ln x , 1 \leq x \leq 4$$

A) $\frac { 3 \pi } { 2 }$
B) $\frac { 8 \pi } { 3 }$
C) $\frac { 10 } { 3 }$
D) $\frac { 11 \pi } { 2 }$
E) None of these