cylindricalshell
The cylindrical shell method is a technique used in calculus to find the volume of a solid of revolution. It is particularly useful when revolving a region around an axis parallel to the axis of the integration variable. Imagine dividing the region into thin vertical or horizontal strips. When this strip is revolved around the axis of rotation, it forms a thin cylindrical shell.
The volume of a single cylindrical shell is approximated by the product of its circumference, its height,
To find the total volume of the solid, we integrate the volumes of all these infinitesimally thin