Hello, I have to find the volume enclosed by two paraboloids - [tex] z = 9(x^2+y^2) [/tex] and [tex] z = 32-9(x^2+y^2) [/tex] I found the limits of integraion by setting them equal to each other. The problem Im having is what function do I integrate? The example my teacher gave, he integrated [tex]32-9(x^2+y^2) - 9(x^2+y^2) [/tex], the difference of the two paraboloid equations. Im sure this is right, but I dont understand why. Wouldnt integrating the difference of the paraboloids be the total volume minus the volume enclosed by the two paraboloids?