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Evaluate the Cylindrical Coordinate Integral 09π060r(3r2+4z2)dzrdrdθ\int _ { 0 } ^ { 9 \pi } \int _ { 0 } ^ { 6 } \int _ { 0 } ^ { r } \left( 3 r ^ { 2 } + 4 z ^ { 2 } \right) d z r d r d \theta

Question 141

Multiple Choice

Evaluate the cylindrical coordinate integral.
- 09π060r(3r2+4z2) dzrdrdθ\int _ { 0 } ^ { 9 \pi } \int _ { 0 } ^ { 6 } \int _ { 0 } ^ { r } \left( 3 r ^ { 2 } + 4 z ^ { 2 } \right) d z r d r d \theta


A) 303,2645π\frac { 303,264 } { 5 } \pi
B) 75,816π75,816 \pi
C) 454,8965π\frac { 454,896 } { 5 } \pi
D) 101,088π101,088 \pi

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