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Use Cylindrical Coordinates to Evaluate ∫−22∫04−x2∫016−x2−y2zdzdydx\int _ { - 2 } ^ { 2 } \int _ { 0 } ^ { \sqrt { 4 - x ^ { 2 } } } \int _ { 0 } ^ { \sqrt { 16 - x ^ { 2 } - y ^ { 2 } } } z d z d y d x

Question 100

Multiple Choice

Use cylindrical coordinates to evaluate ∫−22∫04−x2∫016−x2−y2zdzdydx\int _ { - 2 } ^ { 2 } \int _ { 0 } ^ { \sqrt { 4 - x ^ { 2 } } } \int _ { 0 } ^ { \sqrt { 16 - x ^ { 2 } - y ^ { 2 } } } z d z d y d x


A) 1212 π\pi
B) 112112 π\pi
C) 32\frac { 3 } { 2 } π\pi
D) 1414 π\pi

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