Question: 1. (i) Find the volume V of the solid bounded by y = 2 and by the planes y + z = 4 and z

1. (i) Find the volume V of the solid bounded by

1. (i) Find the volume V of the solid bounded by y = 2 and by the planes y + z = 4 and z = 0 by setting up a triple integral with z as the innermost variable. (ii) Set up a triple integral for finding the volume of the above solid with the innermost variable as r. 2. Change the equation from cylindrical to rectangular coordinates and sketch the graphs in the ryz-coordinate system: (i) z = 4r and (ii) r = 4 sin 0

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