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Moment of Inertia Problem

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Here's a derviation from HyperPhysics:



He says:

[tex]dV=πy^{2}dz[/tex]


However, if we're finding the surface area of the sphere:

[tex]dA=2πRdz≠2πydz[/tex]


If we cannot use [tex]dA=2πydz[/tex], how come [tex]dV=πy^{2}dz[/tex] is still applicable?

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