Question

What is the volume of the region enclosed by the planes x+z = 3, y=x, y=0, z=0, and the cylinder x²+y²=1?

Is the answer 5 because I keep on getting different answers for this?

Answer 1

This problem is too messy for me to tackle. I was hoping Reiny would take it. I don't think the answer is 5 because a "pi" should appear somewhere. You are asking for the volume of a cylinder that is centered in the z axis and rises from the z=0 plane, but has some slices taken out of it.