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

question 6

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) \(128 \pi\)

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