`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 in cubic centimeters.  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

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Volume is a three dimensional measurement of the amount of space taken up by an object.  Volume units are cubic measurements for solid objects such as cubic inches and cubic meters.  Fluids have separate volume units such as liters, fluid ounces, cups, gallons, and barrel. 

The volume of an object can measured by the liquid it displaces or be calculated by measuring its dimensions and applying those dimensions to a formula describing its shape.  Many such calculations are available in the following list of calculators. 

In many cases, the calculators are for a column with a geometric shaped base and vertical sides.  One basic formula for volume is area times a Height when the volume has vertical sides.

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Volume Calculators

• Volume from Area and Height
• 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 Semicircle
• Volume of a Triangular 
• Volume of a Quadrilateral 
• Volume of a Pentagon 
• Volume of a Hexagon 
• Volume of a Heptagon
• Volume of a Octagon
• Volume of a Nonagon
• Volume of a Decagon
• Volume of a Hendecagon
• Volume of a Dodecagon
• Volume of a Paraboloid
• Volume of a Polygon based Pyramid
• Volume of a Pyramid Frustum
• Volume of a Sphere
• Volume of a Sphere Cap
• Volume of a Sphere Segment
• Volume of a Sphere Shell
• Volume of a Oblate Spheroid
• Volume of a Ellipsoid
• Volume of a Torus
• Volume of a Bottle
• Volume of a Chamfer
• Gasket Volume