Consider the solid (Figure 9) in the first octant cut off from the square cylinder with sides x = 0, x = 1, y = 0, and y = 1 by the plane x + y + z = 4. Find its volume in three ways.
(a) Hard way: by a dr dz dy integration
(b) Easier way: by a dz dy dx integration

Transcribed Image Text:

x + y +z=4 y = 1 I = 1