`V = 1/4 pi^2 ( "a" + "b" )( "b" - "a" )^2`

Enter a value for all fields

The Volume of a Torus calculator computes Torus  the volume of a torus (circular tube) with an inner radius of (a) and an outer radius of (b).

INSTRUCTIONS: Choose units and enter the following: 

• (a) Inner Radius of Torus
• (b) Outer Radius of Torus

Volume of a Torus (V): The calculator returns the volume (V) in cubic meters.  However, this can be automatically converted to compatible units via the pull-down menu.

The Math / Science

The formula for the volume of a torus is:

       V = (π²/4)•(a+b)•(b-a)²

where:

• V is the volume of the torus
• a is the inner diameter
• b is the outer diameter

Torus Calculators

• Volume of a Torus based on the inner and outer radii
• Volume of a Torus based on the outer radius (R) and the radius of the tube (r)
• Mass or Weight of Torus
• Surface Area of a Torus

Volume Calculators

• Volume of a Cube 
• Volume of a Box
• Volume of a Cone
• Volume of a Cone Frustum
• Volume of a Cylinder
• Volume of a Slanted Cylinder
• Volume of a Triangular - 3 sided column
• Volume of a Quadrilateral - 4 sided column
• Volume of a Pentagon - 5 sided regular column
• Volume of a Hexagon - 6 sided regular column
• Volume of a Heptagon - 7 sided regular column
• Volume of a Octagon - 8 sided regular column
• Volume of a Nonagon - 9 sided regular column
• Volume of a Decagon - 10 sided regular column
• Volume of a Hendecagon  - 11 sided regular column
• Volume of a Dodecagon  - 12 sided regular column
• Volume of a Paraboloid
• Volume of a Polygon based Pyramid
• Volume of a Pyramid Frustum
• Volume of a Sphere
• Volume of a Oblate Spheroid
• Volume of a Ellipsoid
• Volume of a Torus
• Volume of a Bottle
• Volume of a Chamfer