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

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

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