Ok I have a quick question. I have this problem that is doable with polar coordinates and triple integrals but I was wondering if it would be possible to do this problem in the cartesian coordinate system (odd question I know...). 1. The problem statement, all variables and given/known data A sprinkler distributes water in a circular pattern, supplying water to a depth of e^(-r) feet per hour at a distance of r feet from the sprinkler. A. What is the total amount of water supplied per hour inside of a circle of radius 10? 2pi-2pie^(-10) B. What is the total amount of water that goes throught the sprinkler per hour? 2pi 2. Relevant equations Just integration techniques I guess. pi*R^2 is the equation for a circle area. x^2+y^2=100 is the equation in standard form for this circle. 3. The attempt at a solution Here's where I get lost. In cartesian coordinates the bounds for the resulting double integral should be 0<=y<=sqrt(100-x^2) and 0<=x<=10, right? Then from there I take the double integral of the equation of the circle and...? Any help is appreciated, thanks! EDIT: Should I take the double integral of pi(x^2+y^2) with the bounds I have above? or is that wrong?