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

question 39

Multiple Choice

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

• A) \(\frac { \pi } { 8 }\)
• B) \(\frac { \pi } { 4 }\)
• C)\(\pi\)
• D)2\(\pi\)
• E) \(\frac { \pi } { 16 }\)
• F) \(\frac { \pi } { 2 }\)
• G) \(\frac { \pi } { 3 }\)
• H) \(\frac { \pi } { 6 }\)

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