Question: Consider the solid (Figure 8) in the first octant cut off from the square cylinder with sides x = 0, x = 1, z =

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

Zr+y+2z = 6

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