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Evaluate the Following Iterated Integral 02π0π24ρ2sinϕdρdϕdθ \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. 02π0π24ρ2sinϕdρdϕdθ \int_{0}^{2 \pi} \int_{0}^{\pi} \int_{2}^{4} \rho^{2} \sin \phi d \rho d \phi d \theta


A) 2243\frac { 224 } { 3 }
B) 2243π\frac { 224 } { 3 } \pi
C) 2887π\frac { 288 } { 7 } \pi
D) 40π40 \pi
E) 2887\frac { 288 } { 7 }

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