Evaluate the Cylindrical Coordinate Integral $$\int _ { 0 } ^ { 8 \pi } \int _ { 0 } ^ { 2 } \int _ { r } ^ { 4 r } d z r d r d \theta$$

Multiple Choice

Evaluate the cylindrical coordinate integral.
- $$\int _ { 0 } ^ { 8 \pi } \int _ { 0 } ^ { 2 } \int _ { r } ^ { 4 r } d z r d r d \theta$$

A) $32 \pi$
B) $\frac { 512 } { 3 } \pi$
C) $64 \pi$
D) $128 \pi$