Shell approximation of solid of revolution II

2 (likes)
2466 (views)
This product is available only if you have an account in My Mini Factory service
×
Color:

The model pictured on the left is the solid obtained by revolving the region between the graph of y=(x-1)(x-3)^2 and the x-axis on [1,3] around the y-axis. The model in the back is an approximation of that solid using 8 shells, and the model on the right is an approximation with 16 shells. This particular volume is the same one computed with a definite integral at https://www.khanacademy.org/math/integral-calculus/solidrevolutiontopic/shell-method/v/shell-method-for-rotating-around-vertical-line, in case you feel like doing some calculus. For more information about the math behind approximating volumes with shells, see the link below. MakerHome, Day 238: http://makerhome.blogspot.com/2014/04/day-238-shellmaker-2.html ===== Twitter:  twitter.com/mathgrrl Hacktastic blog:  mathgrrl.com/hacktastic Shapeways geekhaus store:  shapeways.com/shops/mathgrrl This design and all associated pictures and files are licensed under the Creative Commons Attribution Non-Commercial Share Alike license. If you want to use designs, images, or files outside of the terms of this license, please email [email protected].

About the author:
mathgrrl
math geek and defender of the universe. hacktastic designer and maker.

Reviews

This model have no reviews. Would you like to be the first to review? You need to print it first.