?The solid Q is bounded by the cylinder \(x^{2}+y^{2}=a^{2}\) , the paraboloid
Chapter 5, Problem 346(choose chapter or problem)
The solid Q is bounded by the cylinder \(x^{2}+y^{2}=a^{2}\) , the paraboloid \(b^{2}-z=x^{2}+y^{2}\) , and the xy-plane, where 0 < a < b. Find the mass of the solid if its density is given by \(\rho(x, y, z)=\sqrt{x^{2}+y^{2}}\) .
Text Transcription:
x^2 + y^2 = a^2
b^2 - z = x^2 + y^2
rho(x, y, z)=sqrt x^2 + y^2
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