Strange Bowl: 16 cylindrical shells
thingiverse
The volume created by rotating the area between y=x and y=x^2 around the line y=1.25 has a peculiar shape - it looks like a bowl but with a conical interior and a gaping hole at the bottom. To approximate this volume, we use 16 cylindrical shells. It's worth noting that the 16th shell isn't visible because it contributes zero to the overall volume. This model pairs perfectly with Strange Bowl: smooth & 16 washers (Thingiverse URLs removed for now) was designed and printed by Ryan McDonnell, my WLU summer research student ('17). More information can be found on mathvis.academic.wlu.edu.
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