Shell approximation of solid of revolution II

pinshape

The model depicted on the left is a three-dimensional solid formed by rotating the area between the curve y = (x - 1)(x - 3)^2 and the x-axis over the interval [1, 3] around the y-axis. The model in the background represents an approximation of this solid using eight shells, while the model on the right is a more accurate representation using sixteen shells. This specific 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 those who enjoy calculus. For further details about approximating volumes with shells, visit the link below. MakerHome, Day 238: http://makerhome.blogspot.com/... Twitter: twitter.com/mathgrrl Hacktastic blog: www.mathgrrl.com/hacktastic Shapeways geekhaus store: www.shapeways.com/shops/mathgr... This design and all associated images and 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's terms, please email request@mathgrrl.com.