Evaluate the Integral A) $\frac { 224 } { 9 } \pi ^ { 2 }$

question 317

Multiple Choice

Evaluate the integral.
- $$\int _ { 4 } ^ { 8 } \int _ { 0 } ^ { \pi / 2 } \int _ { 0 } ^ { \pi / 2 } ( \varrho \sin \varphi ) ^ { 2 } \mathrm {~d} \theta \mathrm { d } \varphi \mathrm { d \varphi }$$

• A) \(\frac { 224 } { 9 } \pi ^ { 2 }\)
• B) \(\frac { 56 } { 3 } \pi ^ { 2 }\)
• C) \(\frac { 56 } { 3 } \pi\)
• D) \(\frac { 224 } { 9 } \pi\)

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