How to Find Volume by Spinning: Washer Method
The Washer Method extends the Disk Method to calculate volumes of solids with hollow centers by revolving a region around an axis. This technique involves subtracting the volume of the inner solid from the outer solid, integrating the difference between the outer and inner radii squared, multiplied by π, across the interval. Ideal for objects […]
How to Find Volume by Spinning: Shell Method
The Shell Method calculates volumes of solids of revolution by integrating cylindrical shells’ circumferences. It’s particularly effective when the axis of rotation is parallel to the y-axis, simplifying calculations for solids with complex shapes. This method sums the volumes of concentric cylindrical shells, derived from rotating a function around an axis, offering an alternative approach […]