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Find the volume of the solid that lies under the paraboloid \( z=25-x^{2}-y^{2} \) and above the u ...
Find the volume of the solid that lies under the paraboloid \( z=25-x^{2}-y^{2} \) and above the unit circle on the xy-plane. A plot of an example of a similar solid is shown below. (Answer accurate to 2 decimal places). Hint: The integral and region is defined in polar coordinates.