Originally Posted by

**shawsend** Try and figure it out based on the plot below. You can calculate just the volume of just the cylinder without the tops, then all we need is the volume of the green part right? You can calculate the length of the blue and red lines. Now take that circular area which is underneath the green part and place it onto the x-y plane. That is a circle right with diameter one. So you know how to integrate over a circle of radius one right? That's the 0 to 1 and 0 to 2pi bit. Now for the z limits, isn't that just from the bottom of the green part to the top of the green part as a function of the outward radius?