Using concepts from the solids of revolution, write out (but do not evaluate!) an integral that computes the volume of a torus with inner radius R = 5 and outer radius r = 2, by completing the following steps: i. Identify the region and the axis of revolution. Provide a graph of the region (demos.com might help with this!). ii. Choose your desired slicing method and write out the corresponding area function. iii. Determine the bounds of integration. iv. Write the integral(s) that will compute the volume of the solid (you do not need to evaluate it!). 42 Y R Y Left: The full solid volume. Right: solid with a cutout so that the radii can be identified.

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