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4. Find the volume of the solid that lies under the sphere 3:2 + y2 + 22 = 9, above the :m plane, and bmmded

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4. Find the volume of the solid that lies under the sphere 3:2 + y2 + 22 = 9, above the :m plane, and bmmded within a innitely long cylinder 1:2 + 312 : 1. (a) First build the integral in the form f [D \"mm write down what integration domain D and integrand function f(2:, y) are. (Hint: a sketch of the solid is helpful but not nextessary to get credits.) (b) Evaluate the integral by changing to polar coordinate

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