solid of revolution

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solid of revolution

n.
A volume generated by the rotation of a plane figure about an axis in its plane.
American Heritage® Dictionary of the English Language, Fifth Edition. Copyright © 2016 by Houghton Mifflin Harcourt Publishing Company. Published by Houghton Mifflin Harcourt Publishing Company. All rights reserved.
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Solids of Revolution is a critical topic in the learning progression of calculus.
In this article, I aim to describe to teachers a way of helping students visualize Solids of Revolution, find their volume, represent them on a 3D graph using CAD software, and create a file for a 3D printer as they find ways to incorporate this understanding into technology and engineering application.
This is the case since we can parameterize the solids of revolution using
It is instructive to see the manner in which our solids of revolution differ from the usual ones when the axis of rotation intersects the graph of f (x) and what unsigned surface area is obtained.
I will show the things I have made to teach the following ideas to blind students: geometric proofs; graphing, including gr aphing tangent lines and derivative functions; linear algebra, including matrices and their applications; and using Riemann sums to find the volume of solids of revolutions. This workshop is designed to show how a blind student can learn complex ideas through simple manipulatives.