sorry , i really have problem understanding your diagram , can you explain further ? do you mean it's the view looking down from z a-xis ? if so , then i still cant understand itIn order to facilitate getting this thread finished I am including a picture:
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This is looking almost straight down the z axis. You can see that the portion of the sphere inside the cylinder lies above the region which I will call ##D## which is the intersection of the two circles in the xy plane. So if you want the volume under the sphere and above the xy plane you have to set up the integral for the volume under the sphere over the region ##D## in polar coordinates. If you want to include the volume under the xy plane you would double that. That is what this problem is really about -- setting up that integral properly.