Evaluate the Following Iterated Integral $\int_{0}^{2 \pi} \int_{0}^{\pi} \int_{2}^{4} \rho^{2} \sin \phi d \rho d \phi d \theta$

question 42

Multiple Choice

Evaluate the following iterated integral. $\int_{0}^{2 \pi} \int_{0}^{\pi} \int_{2}^{4} \rho^{2} \sin \phi d \rho d \phi d \theta$

• A) \(\frac { 224 } { 3 }\)
• B) \(\frac { 224 } { 3 } \pi\)
• C) \(\frac { 288 } { 7 } \pi\)
• D) \(40 \pi\)
• E) \(\frac { 288 } { 7 }\)

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