Evaluate the Integral A) $\frac { 4 } { 9 } \pi ^ { 2 }$

question 53

Multiple Choice

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

• A) \(\frac { 4 } { 9 } \pi ^ { 2 }\)
• B) \(\frac { 1 } { 3 } \pi\)
• C) \(\frac { 4 } { 9 } \pi\)
• D) \(\frac { 1 } { 3 } \pi ^ { 2 }\)

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