Find the Average Value of the Function Over the Region $\mathrm { f } ( \mathrm { \rho } , \varphi , \theta ) = \varrho$

question 345

Multiple Choice

Find the average value of the function over the region.
- $\mathrm { f } ( \mathrm { \rho } , \varphi , \theta ) = \varrho$ over the "ice cream cone" cut from the solid sphere $\mathrm { p } \leq 4$ by the cone $\varphi = \pi / 3$

• A) 3
• B) \(\frac { 1 } { 3 }\)
• C) \(\frac { 3 } { 16 }\)
• D) \(64 \pi\)

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