Evaluate the Following Iterated Integral $$\int _ { 0 } ^ { \pi / 2 } \int _ { 0 } ^ { \cos ^ { 2 } \theta } \int _ { 0 } ^ { 1 - r ^ { 2 } } r \sin \theta d z d r d \theta$$

question 98

Multiple Choice

Evaluate the following iterated integral. $$\int _ { 0 } ^ { \pi / 2 } \int _ { 0 } ^ { \cos ^ { 2 } \theta } \int _ { 0 } ^ { 1 - r ^ { 2 } } r \sin \theta d z d r d \theta$$

• A) \(\frac { 11 } { 180 }\)
• B) \(\frac { 13 } { 180 }\)
• C) \(\frac { 1 } { 12 }\)
• D) \(\frac { 180 } { 11 }\)
• E) \(\frac { 12 } { 1 }\)

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