# Thread: Changing Triple Integrals Limits (Cylindrical Coordinates)

1. ## Changing Triple Integrals Limits (Cylindrical Coordinates)

(PICTURE provided : https://drive.google.com/open?id=0B3...x0eE13VnltS3ZF)

Hi !
I don't understand the limits we are using in the case of drdzd@ in this question , I don't how to interpret or find them with divided regions. Kindly help me with the drdzd@ integral. I shall be very thankful to you. Also tell how we get z =2 here as a limit.

2. ## Re: Changing Triple Integrals Limits (Cylindrical Coordinates)

Originally Posted by Tauqir6
(PICTURE provided : https://drive.google.com/open?id=0B3...x0eE13VnltS3ZF)

Hi !
I don't understand the limits we are using in the case of drdzd@ in this question , I don't how to interpret or find them with divided regions. Kindly help me with the drdzd@ integral. I shall be very thankful to you. Also tell how we get z =2 here as a limit.
I assume you can do the bottom part which is just a cylinder. For $\sqrt 3 \le z \le 2$, $r$ goes from $0$ to the $r$ on the sphere, which is $\sqrt{4-z^2}$. Does that help?