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

question 263

Multiple Choice

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

• A) \(9000 \pi\)
• B) \(90,000 \pi\)
• C) \(120,000 \pi\)
• D) \(900 \pi\)

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