Shell approximation of solid of revolution II
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The model on the left is a 3D solid created by rotating the space between y=(x-1)(x-3)^2 and the x-axis around the y-axis on [1,3]. The model in the back is an approximation of that solid made using 8 shells, while the model on the right is an approximation with 16 shells. This volume can also be calculated using a definite integral at khanacademy.org/math/integral-calculus/solid_revolution_topic/shell-method/v/shell-method-for-rotating-around-vertical-line. For more information about approximating volumes with shells, see makerhome.blogspot.com/2014/04/day-238-shellmaker-2.html. Follow mathgrrl on Twitter at twitter.com/mathgrrl or visit mathgrrl.com/hacktastic for updates. The design and all associated files are licensed under the Creative Commons Attribution Non-Commercial Share Alike license. If you wish to use designs, images, or files outside of this license, please email request@mathgrrl.com.
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