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Using Spherical Coordinates, the Triple Integral \iiint E xyzdVx y z d V

Question 177

Multiple Choice

Using spherical coordinates, the triple integral \iiint E xyzdVx y z d V where E is the solid x2+y2+z2=16x ^ { 2 } + y ^ { 2 } + z ^ { 2 } = 16 is


A) 5123\frac { 512 } { 3 }
B) 2563\frac { 256 } { 3 }
C) 1283\frac { 128 } { 3 }
D) 643\frac { 64 } { 3 }
E) 0

Correct Answer:

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