Use Spherical Coordinates $\iiint _ { B } \left( x ^ { 2 } + y ^ { 2 } + z ^ { 2 } \right) ^ { 2 } d V$

question 68

Multiple Choice

Use spherical coordinates. Evaluate $\iiint _ { B } \left( x ^ { 2 } + y ^ { 2 } + z ^ { 2 } \right) ^ { 2 } d V$ , where $B$ is the ball with center the origin and radius $5$ .

• A) \(\frac { 312500 } { 7 } \pi\)
• B) \(\frac { 4374 } { 7 }\)
• C) \(\frac { 4374 } { 7 } \pi\)
• D) \(\frac { 559872 } { 7 } \pi\)
• E) None of these