Matthew has a model train that uses a circular cone as a flywheel. The cone has radius and height .
Find its moment of inertia about its axis of symmetry.
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What is its radius of gyration about this axis?
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Matthew would like to replace the cone with a circular cylinder of the same mass. He does not want this change to affect the performance of his train, so he needs a cylinder with the same moment of inertia as the cone. Find an expression for the radius of the cylinder that he needs to buy.
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