How Do You Calculate Basic Moment of Inertia?

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togo
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Homework Statement


mv6x04.jpg


Question #4

Homework Equations


The formula for step 1 is supposed to be general equation for moment of inertia.

The Attempt at a Solution


as seen. The answer to the question is 5.870

My attempt: 1/3pi^3 * -cos(pi)

still wrong.
 
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Must be something going wrong with your integration, because the function that you're integrating looks okay. You'll have to spell out the details of your integration for us to spot the problem.