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

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) $64 \pi$