Find the volume of the solid region bounded above by the paraboloid. z=9-x^2-y^2 and below by the unit circle in the xy plane.
Added by Ines G.
Step 1
The unit circle in the xy plane is defined by x^2 + y^2 = 1. So, we can use polar coordinates to simplify the integration. Let x = rcos(θ) and y = rsin(θ), where r is the radius and θ is the angle. The limits for r will be from 0 to 1 (the radius of the unit Show more…
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