1.1K views · 30 reactions | Calculus I and II Lecturer-29: Volumes...

Calculus I and II Lecturer-29: Volumes III Solid of Revolution Example-02 The Cylinderical Shell Method The Cylindrical Shell Method is a technique for calculating the volume of a solid of revolution by integrating the lateral surface areas of infinitely thin vertical or horizontal cylindrical shells formed around the axis of rotation. Solids with specified cross-sections. video credits to #selwyn_Hollis University of Houston Department of Mathematics. For further information https://online.math

📌The disk and shell methods are techniques used to find the volume of a solid formed by rotating a region around an axis. The disk method slices the solid into thin, flat disks perpendicular to the axis of rotation, and adds up their volumes. The shell method, on the other hand, uses cylindrical shells formed by slicing the region parallel to the axis. Each method is useful depending on the shape of the region and the axis of rotation, helping to simplify volume calculations in calculus. 📌Supp