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Use Cylindrical or Spherical Coordinates, Whichever Seems More Appropriate, to Evaluate

Question 23

Multiple Choice

Use cylindrical or spherical coordinates, whichever seems more appropriate, to evaluate EzdV\iiint _ { E } z d V where EE lies above the paraboloid z=x2+y2z = x ^ { 2 } + y ^ { 2 } and below the plane z=16z = 16 .


A) 160.28- 160.28
B) 176.38176.38
C) 4,289.324,289.32
D) 175.93175.93
E) 175.37175.37

Correct Answer:

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