Shell Method X Axis Math
Use the shell method to find the volume of the solid obtained by rotating about the x axis the region under y x 3 y x 3 y x 3 from x 0 x 0 x 0 to x 2 x 2 x 2.
Shell method x axis math. Shell method let a solid be formed by revolving a region r bounded by x a and x b around a vertical axis. The shell method will yield a direct answer. Don t just watch practice makes perfect. Let r x represent the distance from the axis of rotation to x i e the radius of a sample shell and let h x represent the height of the solid at x i e the height of the shell.
This video explains how to use the shell method to determine volume of revolution about horizontal and vertical axes other than the x and y axis. Volumes of solids of revolution shell method. When the function f x f x f x is rotated about the y y y axis.