Find the Average Value of the Function Over the Region $f ( \varrho , \varphi , \theta ) = \varrho \cos \varphi$

question 330

Multiple Choice

Find the average value of the function over the region.
- $f ( \varrho , \varphi , \theta ) = \varrho \cos \varphi$ over the solid lower ball $\varrho \leq 8 , \pi / 2 \leq \varphi \leq \pi$

• A) \(\frac { 1 } { 3 }\)
• B) \(\frac { 3 } { 2 }\)
• C) \(- 3\)
• D) \(- 1024 \pi\)

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