Solve the Problem $\varrho = 9$ In Spherical Coordinates $\int _ { 0 } ^ { 2 \pi } \int _ { 0 } ^ { \pi } \int _ { 0 } ^ { 9 } \mathrm {~d} d \operatorname { d } \varphi \mathrm { d } \theta$

question 192

Multiple Choice

Solve the problem.
-Set up the triple integral for the volume of the sphere $\varrho = 9$ in spherical coordinates.

• A) \(\int _ { 0 } ^ { 2 \pi } \int _ { 0 } ^ { \pi } \int _ { 0 } ^ { 9 } \mathrm {~d} d \operatorname { d } \varphi \mathrm { d } \theta\)
• B) \(\int _ { 0 } ^ { 2 \pi } \int _ { 0 } ^ { \pi / 2 } \int _ { 0 } ^ { 9 } \varrho ^ { 2 } \sin \varphi \mathrm { de } \mathrm { d } \varphi \mathrm { d } \theta\)
• C) \(\int _ { 0 } ^ { 2 \pi } \int _ { 0 } ^ { \pi } \int _ { 0 } ^ { 9 } \varrho ^ { 2 } \sin \varphi \mathrm { d } \rho \mathrm { d } \varphi \mathrm { d } \theta\)
• D) \(\int _ { 0 } ^ { 2 \pi } \int _ { 0 } ^ { \pi / 2 } \int _ { 0 } ^ { 9 } \mathrm { de } \mathrm { d } \varphi \mathrm { d } \theta\)

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