Evaluate the Spherical Coordinate Integral A) $\frac { 1000 } { 3 } \pi ^ { 2 }$

question 195

Multiple Choice

Evaluate the spherical coordinate integral.
- $$\int _ { 0 } ^ { \pi } \int _ { 0 } ^ { \pi } \int _ { 0 } ^ { 10 \sin \varphi } \varrho ^ { 2 } \sin \varphi \mathrm { de } \mathrm { d } \varphi \mathrm { d } \theta$$

• A) \(\frac { 1000 } { 3 } \pi ^ { 2 }\)
• B) \(125 \pi ^ { 2 }\)
• C) \(\frac { 1000 } { 9 } \pi ^ { 2 }\)
• D) \(\frac { 500 } { 3 } \pi ^ { 2 }\)

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