Solve the Problem $Q = 7$ In Cylindrical Coordinates $\int _ { 0 } ^ { 2 \pi } \int _ { 0 } ^ { 7 } \int _ { - \sqrt { 49 - r ^ { 2 } } } ^ { \sqrt { 49 - r ^ { 2 } } } d z d r d \theta$

question 125

Multiple Choice

Solve the problem.
-Set up the triple integral for the volume of the sphere $Q = 7$ in cylindrical coordinates.

• A) \(\int _ { 0 } ^ { 2 \pi } \int _ { 0 } ^ { 7 } \int _ { - \sqrt { 49 - r ^ { 2 } } } ^ { \sqrt { 49 - r ^ { 2 } } } d z d r d \theta\)
• B) \(\int _ { 0 } ^ { 2 \pi } \int _ { 0 } ^ { 7 } \int _ { 0 } ^ { \sqrt { 49 - r ^ { 2 } } } d z d r d \theta\)
• C) \(\int _ { 0 } ^ { 2 \pi } \int _ { 0 } ^ { 7 } \int _ { 0 } ^ { \sqrt { 49 - r ^ { 2 } } } r d z d r d \theta\)
• D) \(\int _ { 0 } ^ { 2 \pi } \int _ { 0 } ^ { 7 } \int _ { - \sqrt { 49 - r ^ { 2 } } } ^ { \sqrt { 49 - r ^ { 2 } } } r d z d r d \theta\)

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