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

question 43

Multiple Choice

Use spherical coordinates to evaluate $\iiint _ { B } \sqrt { x ^ { 2 } + y ^ { 2 } + z ^ { 2 } } d V$ , where $B$ is the ball $x ^ { 2 } + y ^ { 2 } + z ^ { 2 } \leq 7$ .
Select the correct answer.

• A) \(2401 \pi\)
• B) \(343 \pi\)
• C) \(686 \pi\)
• D) \(7 \pi\)

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