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Volume: slices y constant – 3D printable model from Thingiverse Thingiverse

Volume: slices y constant

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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 8 slices, where the y-value has been held constant at the midpoint of each sub-interval (so y=pi/32, 3pi/32, ... , 15pi/32). This is an illustration of Fubini's Theorem and iterated integration.

This model pairs nicely with Volume: slices x constant and Volume: no slices. See http://www.thingiverse.com/thing:928461 and http://www.thingiverse.com/thing:928456.

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