# 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.

**Table of Contents**

## 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 = 2π^{2}r^{2}R

**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 = 2π^{2}r^{2}R

Putting values in the formula:

V = 2 × (3.14)^{2}× (3)^{2}× 7 = 1244 cm^{3}

**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.