Torus Volume

Torus Volume Calculation:

•  R =

  Major Radius

  Radius from the center of the torus to the center of the tubular ring

•  r =

  Minor Radius

  Radius of the tube part of the torus

•  v =

  Volume

  Volume of the interior closed shape of the torus

• -3 -2 -1 0 1 2 3 4 5 6 7 8 9

  Decimals

  Choose the number of decimals to show in your answer. This is also known as significant figures. Select an appropriate amount of significant figures based on the precision of the input numbers.

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Torus Volume Formula

A torus is a three-dimensional shape most easily recognizable as a donut. The torus is comprised of a circle that is rotated around a central outer point from a tubular ring, or donut shape. To find the volume of the tubular portion we need two radii. The radius from the point of rotation to the center of the cross-sectional circle of the tube and the radius of the tube.

Torus Volume Variables

Volume of a torus, or donut shape, can be calculated from the radius of the tubular portion and radius that it is rotated around.

Major Radius (R)

Distance from the center of the torus to the center of the solid tube portion.

Minor Radius (r)

Radius of the solid tube or donut portion of the torus.

Volume (V)

Volume of the fully enclosed tubular ring shape.

Torus Volume Solution

How to find the volume of a torus with a minor radius of 3 and a major radius of 5.

A torus with a minor radius of 3 and a major radius of 5 will have a volume of about 888.26 cubic units.

Torus Volume Example

What is the volume of a torus with a major radius of 10 inches and a minor radius of 2 inches?

A torus with a major radius of 10 inches and a minor radius of 2 inches will have a volume of about 789.567018248 cubic inches