Will someone please help me with the following problem?
Calculate the volume bounded between $z=x^2+y^2$ and $z=2x+3y+1$.
As far as I understand, I need to switch to cylindrical coordinates: $(h,\theta, r)$.
The problem is, that I can't understand how to find the region of each new coordinate . I guess that the region for $\theta$ will be $[0,2\pi]$. But what about $h,r$?
In addition, I do not want to use symmetry . I want to calculate the entire volume , without dividing it into several smaller volumes.
Will you help me?