Given the dimensions and the mass m of the thin conical shell shown, determine the mass

Chapter 9, Problem 9.130

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Given the dimensions and the mass m of the thin conical shell shown, determine the mass moment of inertia and the radius of gyration of the shell with respect to the x axis. (Hint: Assume that the shell was formed by removing a cone with a circular base of radius a from a cone with a circular base of radius a + t, where t is the thickness of the wall. In the resulting expressions, neglect terms containing t2, t3, etc. Do not forget to account for the difference in the heights of the two cones.)

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