# Volume of a Torus Calculator

Solving every geometrical **figure** is not taking a **cup** of **coffee** with cake while sitting on your **terrace**. Sometimes, you must have to be **proficient** in mathematical and analytical **skills** to understand the **shape** properly. A torus is one of those **geometrical** figures that can’t be **solved** by a beginner easily.

It is because of the unique **shape**, parameters, and **dimensions** that this figure has. If you are **not** proficient in **solving** such a complex **figure**, you should **use** this volume of a **torus calculator**. This maths calculator has been designed for this **purpose** only. You can find the **volume** of this specific figure just by **inserting** the related measures in the given input **boxes**.

**Table of Contents**

## Torus

A **torus** is a specific **3D** figure that is **formed** when a circle is **revolved** continuously around a **fixed **central axis. In simple **words**, it is formed when a **circle** is revolved around an **axis** to make a complete **ring** of circular boundaries.

To understand this shape, you can have a look at the following few daily life products.

- Doughnuts
- Rings
- Tires of vehicles
- Water tubes

Take **any** of these products and **trace** them using a **pencil** on the paper. In the **end**, the final figure will be a **torus**. This specific figure doesn’t have a **prominent** use in our routine **lives** but it has much importance in the **architectural** field and engineering **fields**. It is because this shape has **become** the base for many **designs** in this field

### What is the volume of a torus formula?

As a torus is a 3D **shape**, so, it must have a specific **region** that it covers in all **three** dimensions. That **region/space** is called the volume of a **torus**. To calculate this **measurement**, you should need to know the **two** parameters that we call Inner **Radius** and Outer Radius. Let us first tell you **about** these types of radii before sharing the **formula**.

**Inner radius**: The radius of the**inner**ring of the torus is called its**inner radius**. In normal**cases**, it is smaller than the outer radius of the**cross-section**.**Outer radius**: It is the**radius**of the**entire**cross-section of the**torus**that is covered by the**boundaries**of the outer ring. It is the distance of the**outer**boundary of a torus from the**central**point around which it is revolving.

Now, you know the **terms** related to this **figure** that has involvement when it **comes** to the volume of a torus calculation. Here is the **formula** that you have to use for this purpose.

Volume of a torus = 2𝝅^{2}r^{2}R

Here:

- “r” represents the inner radius.
- “R” represents the outer radius of the torus.

### How to calculate the volume of a torus?

To find the **volume** of a **torus**, you only **need** to find the inner **radius** and outer radius to **put** them in the above **formula**. If you are unable to **understand** how it all **goes**, you should look at the following **example** that we have solved for your **ease**.

**Example 1:**

Find the volume of a torus if its inner radius is 5 m and the outer radius is 9 m.

**Solution:**

Let us first write the given data,

Inner radius = r = 5m

BOuter radius = R = 9 m

As we know,

Volume of a torus = 2𝝅^{2}r^{2}R cubic units

So,

Volume of a torus = 2(3.14)^{2}(5)^{2}(9)m^{3}

Volume of a torus = 552.7 m^{3}

### How to use the volume of a torus calculator?

No **doubt**, some students are **unable** to get through the **process** and find the **volume** of a torus. Don’t **worry** if you are one of those **students** because you can make the **process** easier using this tool by Calculator’s Bag. Here are the steps that you have to follow for using this online maths calculator.

- Input the measurement of the inner radius
- Write the measurement of the outer radius in the second input box
- This calculator will show you the tube radius and the volume of that torus.

### FAQ | Volume of a Torus Calculator

**How do you find the volume of the torus?**

We can easily find the volume of the torus using the following formula.

Volume of a torus = 2𝝅^{2}r^{2}R cubic units

**What is torus volume?**

The space that is covered by a torus in all three dimensions is called its volume. Keep in mind that it involves the space covered by the outer boundary of the figure.

**What is a torus in math? **

In mathematics, a torus is a specific 3D figure that comes out when a circle keeps revolving around a fixed central axis.

**What is the major and minor radius of a torus? **

The major radius of a torus is the distance between the central point and the outer boundary while the inner radius is the distance of the inner boundary of the ring from the central point.