Cartesian to Cyclindrical Coordinate

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destroyer130
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Problem
problem.PNG

Solution answer
answer.PNG

For this one, my upper bound of z in cylindrical's is sqrt(4-r^2) instead of (4-r^2). Which one is right, mine or the solution? Thanks for helping me out.
 
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destroyer130 said:
Problem
View attachment 54032
Solution answer
View attachment 54033
For this one, my upper bound of z in cylindrical's is sqrt(4-r^2) instead of (4-r^2). Which one is right, mine or the solution? Thanks for helping me out.

I'd say you are right. Must be a typo.