Consider the solid (Figure 8) in the first octant cut off from the square cylinder with sides x = 0, x = 1, z = 0, and z = 1 by the plane 2x + y + 2z = 6. Find its volume in three ways. (a) Hard way: by a dz dy dx integration
(b) Easier way: by a dy dx dz integration

Transcribed Image Text:

Zr+y+2z = 6