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

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The Answer of Evaluate the Cylindrical Coordinate Integral$\int _ { 0 } ^ { 9 \pi } \int _ { 0 } ^ { 6 } \int _ { 0 } ^ { r } \left( 3 r ^ { 2 } + 4 z ^ { 2 } \right) d z r d r d \theta$

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

Definitions:

Evaluate the Cylindrical Coordinate Integral ∫09π∫06∫0r(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∫09π​∫06​∫0r​(3r2+4z2)dzrdrdθ

Definitions:

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