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Evaluate the Iterated Integral 0π/20π/201ρ2sinϕdρdϕdθ\int _ { 0 } ^ { \pi / 2 } \int _ { 0 } ^ { \pi / 2 } \int _ { 0 } ^ { 1 } \rho ^ { 2 } \sin \phi d \rho d \phi d \theta

Question 64

Multiple Choice

Evaluate the iterated integral 0π/20π/201ρ2sinϕdρdϕdθ\int _ { 0 } ^ { \pi / 2 } \int _ { 0 } ^ { \pi / 2 } \int _ { 0 } ^ { 1 } \rho ^ { 2 } \sin \phi d \rho d \phi d \theta .


A) π6\frac { \pi } { 6 }

B) π4\frac { \pi } { 4 }

C) 4 π\pi

D) 2 π\pi

E) π16\frac { \pi } { 16 }

F) π2\frac { \pi } { 2 }

G) π3\frac { \pi } { 3 }

H) 4π3\frac { 4 \pi } { 3 }

Correct Answer:

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