Find the Average Value of the Function Over the Region $f ( r , \theta , z ) = r ^ { 2 }$

question 352

Multiple Choice

Find the average value of the function over the region.
- $f ( r , \theta , z ) = r ^ { 2 }$ over the region bounded by the cylinder $r = 3$ between the planes $z = - 7$ and $z = 7$

• A) 2
• B) \(\frac { 2 } { 9 }\)
• C) \(\frac { 9 } { 2 }\)
• D) \(\frac { 567 } { 2 } \pi\)

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