Shell approximation of solid of revolution II

myminifactory

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/solid_revolution_topic/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 request@mathgrrl.com.