# The Volume of a Torus

If you want to determine the space occupied by a three-dimensional place like a torus, you can use our free and online volume of a torus calculator.

In geometry, a torus is defined as the rotational surface formed by rotating a circle is a three-dimensional area concerning an axis that is coplanar with the circle. The shape of a torus is just like a ring or a doughnut. That means it has two inner and outer radii. Now a volume of a torus is defined as a space occupied by a three-dimensional space. Such as a volume occupied by doughnuts in a bakery shop.

## Formula of Volume of a Torus Calculator

If you want to determine the volume of a torus instantly, jump to our calculator, or you can find it manually by using a formula listed below:

V = 2π2r2R

Where,

r = inner radius of the torus

R = outer radius of the torus

π = 3.14

### Example

For a more precise and clear understanding of a concept, let us solve an example below:

Suppose if a doughnut has an inner radius of 3cm and the outer radius of 7 cm, then find out the volume covered by a torus.

Given data

r = 3 cm
R = 7 cm

To Find

The volume of a torus = ?

Solution

To find out the, we will use the formula listed below:

V = 2π2r2R

Putting values in the formula:

V = 2 × (3.14)2 × (3)2 × 7 = 1244 cm3

Note:

To find out the volume of a cuboid, you can use our Volume Of A Cuboid Calculator.

### How to use the Volume of a Torus Calculator?

The steps to use the volume of a torus calculator are as follows:

Step 1: Enter the value of the inner radius in the first required input.

Step 2: Enter the value of the outer radius in the second required input.

Step 3: The calculator will automatically display an answer on the screen.

### Calculator use

You can use our volume of a torus calculator in various geometry and daily life principles: such as finding a volume occupied by a doughnut, nut, tire, and other torus-shaped objects.