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Solve the Problem By Transforming to Cylindrical or Spherical Coordinates 9000π9000 \pi

Question 263

Multiple Choice

Solve the problem.
-Evaluate
1010100x2100x206(x2+y2) zdzdydx\int _ { - 10 } ^ { 10 } \int _ { - \sqrt { 100 - x ^ { 2 } } } ^ { \sqrt { 100 - x ^ { 2 } } } \int _ { 0 } ^ { 6 } \left( x ^ { 2 } + y ^ { 2 } \right) z d z d y d x
by transforming to cylindrical or spherical coordinates.


A) 9000π9000 \pi
B) 90,000π90,000 \pi
C) 120,000π120,000 \pi
D) 900π900 \pi

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