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(Solved): 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

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.


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Given that, the solid lies under the paraboloid z=100?x2?y2 and within the cylinder (x?1)2+y2=1 Using polar coordinate Let, (x
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