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Find the Average Value of the Function Over the Region f(r,θ,z)=r2f ( r , \theta , z ) = r ^ { 2 }

Question 352

Multiple Choice

Find the average value of the function over the region.
- f(r,θ,z) =r2f ( r , \theta , z ) = r ^ { 2 } over the region bounded by the cylinder r=3r = 3 between the planes z=−7z = - 7 and z=7z = 7


A) 2
B) 29\frac { 2 } { 9 }
C) 92\frac { 9 } { 2 }
D) 5672π\frac { 567 } { 2 } \pi

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