Use the Theorem of Pappus to Find the Volume of the Solid

Multiple Choice

Use the Theorem of Pappus to find the volume of the solid obtained by revolving the region bounded by the graphs of $y = 16 - x ^ { 2 } , y = 16$ , and $x = 4$ about the $y$ -axis.

A) $128 \pi$
B) $\frac { 512 } { 3 } \pi$
C) $\frac { 128 } { 3 } \pi$
D) $32 \pi$