Question: Let R be the region in three dimensional which lies in the first octant and is bounded by xz -coordinate plane, the yz -coordinate plane, above by the paraboloid z = 2 - x ² - y ² and below by the plane z = 1.

1. Set up an iterated integral for finding the volume of R, where the first integration is with respect to y. Evaluate the integral by hand computation.
2. Set up an iterated integral for finding the volume of R, where the first integration is with respect to z. Evaluate the integral by hand computation. Hint: Change the integral with respect to dxdy to polar coordinates.

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