Let $E$ be the solid below $z = 32 - x^2 - y^2$ and above the square $[-4, 4] \times [-4, 4]$ Given the solid has a constant density of 2, find the moment of inertia of $E$ about the z-axis. Round your answer to the nearest whole number.
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The solid $E$ is defined by the region below the surface $z = 32 - x^2 - y^2$ and above the square $[-4, 4] \times [-4, 4]$ in the xy-plane. The density of the solid is given as a constant $\rho = 2$. The moment of inertia $I_z$ about the z-axis for a solid with Show more…
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