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Evaluate the Integral A) 2563π2\frac { 256 } { 3 } \pi ^ { 2 }

Question 332

Multiple Choice

Evaluate the integral.
- 0π0π08sinφϱ2sinφdφdθdφ\int _ { 0 } ^ { \pi } \int _ { 0 } ^ { \pi } \int _ { 0 } ^ { 8 \sin \varphi } \varrho ^ { 2 } \sin \varphi \mathrm { d } \varphi \mathrm { d } \theta \mathrm { d } \varphi


A) 2563π2\frac { 256 } { 3 } \pi ^ { 2 }
B) 5123π2\frac { 512 } { 3 } \pi ^ { 2 }
C) 5129π2\frac { 512 } { 9 } \pi ^ { 2 }
D) 64π264 \pi ^ { 2 }

Correct Answer:

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