Shell approximation of solid of revolution II
thingiverse
The left image illustrates a solid formed by rotating the region between y=(x-1)(x-3)^2 and x-axis around the y-axis on [1,3]. The model behind depicts an approximation with 8 shells, while the right image shows 16 shells. This volume can be calculated using a definite integral, as demonstrated in Khan Academy's lesson. For further insight into the mathematical concept of approximating volumes via shells, refer to MakerHome Day 238 or the blog post on mathgrrl.com. The design and accompanying images are licensed under Creative Commons Attribution Non-Commercial Share Alike; for non-compliant uses, contact request@mathgrrl.com.
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