the solid enclosed by the cylinder x^2+y^2=9 and the planes y+z= 5 and z=1 find the volume of the given solid?

Question

I have the answer..using polard coordinates..so the bounds are: 0:D

Answer 1

Because z=5-y on the top and 1 for the bottom.

If we think of an infinitesmal volume dV = dxdydz, we can integrate in z first, giving, well, z. E.g.,

int(dz)=z(top bound) -z(bottom bound)
= 5 -y - 1= 4-y

Answer 2

What??????