Use Spherical Coordinates to Evaluate $\iiint _ { B } \sqrt { x ^ { 2 } + y ^ { 2 } + z ^ { 2 } } d V$

question 45

Multiple Choice

Use spherical coordinates to evaluate $\iiint _ { B } \sqrt { x ^ { 2 } + y ^ { 2 } + z ^ { 2 } } d V$ where B is the ball $x ^ { 2 } + y ^ { 2 } + z ^ { 2 } \leq 8$

• A) 512 \( \pi\)
• B) 8 \( \pi\)
• C) 64 \( \pi\)
• D) 1024 \( \pi\)

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