The volume of the solid body bounded by $x^2+y^2=4$ and the planes $y+z=4$ , $z=0$ should be calculated. The class notes say that this type of problem is solved using volume integral $\iiint \limits_G dV $.
Work so far:
**Edit (based on tom's inputs)
$ \iint\limits_R \big[\int \limits_0^{4-y}dz\big] dA = \int\limits_{-2}^2 \int\limits_{-\sqrt{4-x^2}}^{\sqrt{4-x^2}} \int\limits_0^{4-y} dz\,dy\,dx = 16\pi$
I need help with figuring out limits of integration on R, it is not clear from the examples given in class.