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Find the volume of the solid that lies under the paraboloid \( z=100-x^{2}-y^{2} \) and within the ...
Find the volume of the solid that lies under the paraboloid \( z=100-x^{2}-y^{2} \) and within the cylinder \( (x-1)^{2}+y^{2}=1 \). A plot of an example of a similar solid is shown below. (Answer accurate to 2 decimal places). Volume using Double Integral Paraboloid \& Cylinder Hint: The integral and region is defined in polar coordinates.