Question: In this problem we will study the solid of revolution formed by rotating the region bounded by ( y=3 x^{2}),( y=0), and ( x=3) about

In this problem we will study the solid of revolution formed by rotating the region bounded by \( y=3 x^{2}\),\( y=0\), and \( x=3\) about the various axes of revolution listed below. For each axis of revolution, you are asked to set up the corresponding integral. Note you are not asked to solve any of these integrals, only to set them up correctly and all are required to be "\( d x \)" integrals.

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