In cylindrical the equations are and . These intersect in the circle .
So in cylindrical, we have and .
Find the volume determined by z less than or equal to 6-x^2-y^2 and z greater than or equal to sqrt(x^2+y^2).
I'm not sure how to find the limits of integration for this question. I set the two inequalities to each other and found that x^2+y^2=9 and x^2+y^2=4, but am a little stumped on where to continue from there. I'm thinking at some point I will need to convert to cylindrical coordinates, but am still not sure how to go about it. Any help would be appreciated.