How do you evaluate a triple integral in polar cocordinants?

Question

How do you evaluate a triple integral in polar co-cordinants?

This iterated integral is a triple integral over the solid region This region has a much simpler description in cylindrical coordinates:
x r cos , y r sin , z z
z 3 x 2 3 y 2 3 r 2 cos 2 r 2 sin 2…
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