Torus Volume Calculator

Online torus volume calculator, supporting major and minor radius input and 3D torus visualization, suitable for pipe design calculations

Bug report

Browser execution mode: Your data is processed in your browser and is not uploaded to the server.

Speed and Stability: Processing speed depends on your device and browser. For large batch work, the desktop version may be more stable.

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If the online tool fails to load or run, try the desktop tool.https://tools.yikeaigc.com/

Tool Usage

Return to old version

Select an input mode and set parameters, then click Calculate. Sample values can be used directly; results update on the right.

Parameters

Supports radius, inner/outer dimensions, and reverse calculation for torus, O-ring, and ring-shaped tube volume checks.

Length unit

Decimal places

Solve for

Major radius R

Distance from the torus center to the tube cross-section center.

Minor radius r

Radius of the tube cross-section circle; must be greater than 0.

Display options

Results and visualization

Drag the diagram to adjust the view; scroll to zoom.

R：8 cm r：3 cm Type:Torus

Set parameters and click Calculate to get volume, surface area, inner and outer dimensions, centerline length, and steps.

Instructions

Software Usage Instructions

Select an input method: Choose “Major Radius/Minor Radius,” “Inner/Outer Radius,” “Inner/Outer Diameter,” or “Reverse Parameters” based on the known values.
Enter dimension parameters: Enter the corresponding radius, diameter, volume, or surface area values, and select the length unit.
Set decimal places: Choose the number of decimal places to keep in the results for easier engineering records or drawing checks.
Use sample data: Click the O-ring, annular tube, or drawing diameter example to quickly view calculation results for different input methods.
Start calculation: After clicking “Calculate,” you can view the volume, surface area, centerline length, tube cross-sectional area, inner and outer radii, and inner and outer diameters.
Save and export: You can save the current settings for next time; you can also copy the calculation results or download the torus diagram.

FAQ

A: The major radius R is the distance from the center of the torus to the center of the tube cross-section; the minor radius r is the radius of the circular tube cross-section. The volume formula is V = 2π²Rr².

A: Select the “Inner/Outer Diameter” mode, enter the outer diameter Do and inner diameter Di, and the tool will automatically convert them as R = (Do + Di) / 4 and r = (Do - Di) / 4.

A: Please make sure all input values are greater than 0, and that the converted major radius R is not less than the minor radius r. If the outer radius is smaller than the inner radius, or the outer diameter is smaller than the inner diameter, calculation will also fail.

A: The volume formula is V = 2π²Rr², and the surface area formula is A = 4π²Rr. Here, R is the major radius and r is the minor radius.

A: When the target volume or target surface area is known, and one of the radii is also known, you can use reverse parameter mode to solve for the other radius. It is suitable for preliminary size calculations and design comparisons.

A: They are applicable to approximate toroidal structures, such as O-rings, ring-shaped tubes, lifebuoy-shaped parts, and torus models. If the cross-section is not circular, use the corresponding cross-section model for recalculation.