Find the volume of the solid bounded by the cylinder x^2 + y^2 = 1 and the planes y = z, x = 0, z = 0 in the first octant.
Any help would be appreciated.
The region is defined by (if I have done this correctly):
Consider the point with in the first quadrant, then the height of the surface of the solid above this point is and all points from to are in the solid, so the required volume is: