The discussion clarifies that there is no definitive rule for choosing between the shell method and the washer method when calculating volumes of functions rotating about an axis. Instead, the choice depends on convenience and the specific region being rotated. Generally, the shell method is preferred for volumes below the function f(r), while the washer method is more suitable for volumes above f(r). Understanding these methods allows for more efficient volume calculations in calculus.
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There is no general rule for this.Miike012 said:Is there a general rule when to use the shell or washer method when working with calculating volumes of functions rotating about an axis? For instance should I use the shell method when rotating about the y-axis and use the washer method when rotating about the x?