Volume: slices y constant
thingiverse
The volume below the surface z=sin(x)cos(y), above the xy-plane, and inside the rectangle [0,pi/2]x[0,pi/2] is approximated by eight slices, with y-values held constant at midpoints of each sub-interval. Specifically, y=pi/32, 3pi/32, ..., 15pi/32 are used. This setup exemplifies Fubini's Theorem and iterated integration techniques. This model pairs well with "Volume: slices x constant" and "Volume: no slices." See http://www.thingiverse.com/thing:928461 and http://www.thingiverse.com/thing:928456 for related projects. Ryan McDonnell, a WLU summer research student ('17), designed and printed this model.
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