2. (1.5pts each) Consider the solid S which is inside the sphere given by x +...

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2. (1.5pts each) Consider the solid S which is inside the sphere given by x + y+z =4 and above the cone given by z = x + y. Specifically, S=2 '={(x,y,z) : x + y . +z 4, z. = x + y } . (a) Set up but do not evaluate an iterated triple integral in cylindrical coordinates which will yield the volume of S. (b) Set up but do not evaluate an iterated triple integral in spherical coordinates which will yield the volume of S. 2. (1.5pts each) Consider the solid S which is inside the sphere given by x + y+z =4 and above the cone given by z = x + y. Specifically, S=2 '={(x,y,z) : x + y . +z 4, z. = x + y } . (a) Set up but do not evaluate an iterated triple integral in cylindrical coordinates which will yield the volume of S. (b) Set up but do not evaluate an iterated triple integral in spherical coordinates which will yield the volume of S.