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A Surface Has the Shape of the Cone z=x2+y2z = \sqrt { x ^ { 2 } + y ^ { 2 } }

question 120

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A surface has the shape of the cone z=x2+y2z = \sqrt { x ^ { 2 } + y ^ { 2 } } between z=0z = 0 and z=1z = 1 with the density function ρ(x,y,z) =1z\rho ( x , y , z ) = 1 - z . Find the mass of the surface.


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