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

Multiple Choice

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

A) $-$ 160.28
B) 175.37
C) $66.99$
D) 176.38
E) 175.93