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cylindrical shell
[cylindrical shell|cylindrical shell] is a method used to calculate the volume of a solid of revolution by integrating cylindrical shells.
Definition
cylindrical shell is a method used to calculate the volume of a solid of revolution by integrating cylindrical shells.
Mechanism
cylindrical shell The cylindrical shell method calculates volumes by integrating around the axis of rotation. It uses regions bounded above by functions like f(x) = 1/x and below by the x-axis over intervals such as [1, 3].
Examples
cylindrical shell [cylindrical shell] is used in Example 6.12 to calculate the volume of the solid formed by rotating the region R around the x-axis.