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Find the volume of the solid enclosed by the paraboloid and the planes.

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Final answer:

To find the volume of the solid enclosed by the paraboloid and planes, you can use integration to integrate the cross-sectional area of the paraboloid with respect to the height.

Step-by-step explanation:

The volume of a solid enclosed by a paraboloid and planes can be calculated using integration. First, identify the limits of integration for each variable. To find the limits of integration for the paraboloid, set the equation of the paraboloid equal to the height of the planes. Then, integrate the cross-sectional area (A) of the paraboloid between these limits with respect to the height (h) to find the volume (V) of the solid enclosed by the paraboloid and planes.

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