Triple integral in cylindrical coordinates

[norbellys]

1. Homework Statement
I am trying to solve a triple integral using cylindrical coordinates. This is what I have to far . But I think I have choosen the limits wrong.

Homework Equations

The Attempt at a Solution

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[LCKurtz]

1. Homework Statement
I am trying to solve a triple integral using cylindrical coordinates. This is what I have to far . But I think I have choosen the limits wrong.

Homework Equations

The Attempt at a Solution

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Assuming your first line is correct, your change to cylindrical coordinates is almost correct. The only change I see you need is to remember that the element of volume in cylindrical coordinates is $r~dz~ dr~ d\theta$. You forgot the $r$.

 

[norbellys]

Assuming your first line is correct, your change to cylindrical coordinates is almost correct. The only change I see you need is to remember that the element of volume in cylindrical coordinates is $r~dz~ dr~ d\theta$. You forgot the $r$.

yes that was what I was missing !