Evaluate the Integral A) $\frac { 1 } { 6 } \pi$

question 358

Multiple Choice

Evaluate the integral.
- $$\int _ { 0 } ^ { 1 } \int _ { 0 } ^ { \sqrt { z } } \int _ { 0 } ^ { 2 \pi } \left( r ^ { 2 } \sin ^ { 2 } \theta + z ^ { 2 } \right) r d \theta d r d z$$

• A) \(\frac { 1 } { 6 } \pi\)
• B) \(\frac { 1 } { 3 } \pi\)
• C) \(\frac { 4 } { 3 } \pi\)
• D) \(\frac { 1 } { 6 }\)

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