About the Volume of Revolution Calculator
Finds the volume of a solid formed by revolving a region using the disk, washer, or shell method.
What it is
Enter one or two functions, an interval, and an axis of revolution. A horizontal axis uses the disk or washer method with x-integration; a vertical axis uses the shell method — chosen automatically based on the axis.
Features
Method auto-suggestion
Disk, washer, or shell chosen from the axis orientation.
Step-by-step setup
The integral formula shown before the final value.
Crossing-curve handling
The integrand automatically uses whichever curve is farther from the axis.
Shaded region graph
Shows the 2D region and axis of revolution.