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2-101.

The region bounded by $y = − x + 6$ and the coordinate axes is rotated about the $y$-axis. Calculate the volume of the resulting solid.

Sketch the region so you can visualize the flag.

The axis of rotation (the pole) is the $y$-axis.

The resulting solid will be a cone.

Which axis contains the radius ($r$) and which contains the height ($h$)?