It is given by the formula:
\[I_x = \int y^2 \, dm\]
where $dm = \rho \, dV$ is the mass element and $dV = A \, dx$ is the volume element. Here, $A = \pi y^2$ is the cross-sectional area of the paraboloid and $y = 50x$ is the equation of the parabola. Substituting
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