๐Volume of Revolution Calculator
Find the volume of a solid formed by revolving a region, using the disk, washer, or shell method.
Calculations run entirely in your browser using math.js for parsing and Simpson's rule for the integral. No data is sent to a server.
Free Volume of Revolution Calculator
Trying to find the volume of a solid formed by spinning a region around an axis? Our free volume of revolution calculator sets up and solves it instantly using the disk, washer, or shell method. Enter one or two functions, your interval, and the axis of revolution, and see the correct method auto-suggested, the integral built step by step, and the final volume computed.
When the axis is horizontal, the disk or washer method applies with x-integration; when the axis is vertical, the shell method applies automatically. A shaded graph shows exactly which 2D region is being revolved and around which axis.
Enter your functions and interval to get started. No sign-up, no downloads, no limits โ just clear, worked-out calculus whenever you need it. See the About page or the FAQ for more.