Volumes of Revolution

Posted April 13, 2016

by Lensyl Urbano

3D printed volumes.

3D printed volumes.

It can be tricky explaining what you mean when you say to take a function and rotate it about the x-axis to create a volume. So, I made an OpenScad program to make 3d prints of functions, including having it subtract one function from another. I also 3d printed a set of axes to mount the volumes on (and a set of cross-sections of the volumes being rotated.

The picture above are the functions Mrs. C. gave her calculus class on a recent worksheet. Specifically:

y = e^{-x}+2

from which is subtracted:

y = 0.5 x

Citing this post: Urbano, L., 2016. Volumes of Revolution, Retrieved April 22nd, 2018, from Montessori Muddle: http://MontessoriMuddle.org/ .
Attribution (Curator's Code ): Via: Montessori Muddle; Hat tip: Montessori Muddle.

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