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Find the Moment of Inertia About the Z-Axis of a Thin

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Find the moment of inertia about the z-axis of a thin funnel in the shape of a cone z=x2+y2,1z4z = \sqrt { x ^ { 2 } + y ^ { 2 } } , 1 \leq z \leq 4 if its density function is ρ(x,y,z)=12z\rho ( x , y , z ) = 12 - z


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