Problem 71 of 7
Identify solid generated by rotating rectangle rectangle rotated about its centerline parallel to its length.
Hints
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visualize cylinder generation.
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Visualize cylinder generation with axis along a side or external line.
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Solution
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1. Identify the axis of rotation.
2. Track the path of the rectangle's far edge.
3. Name the generated cylinder or shell.
Use the worked steps, then substitute the final answer back into the original relationship to confirm it satisfies the prompt.
Cone generation from rotating a rectangle about its side.