Skip to content
Related Articles
Calculate volume and surface area of Torus
• Last Updated : 07 Apr, 2021

This article is about the surface and mathematical concept of a torus.
A 3D shape made by revolving a small circle (radius r) along a line made by a bigger circle (radius R). Torus

Property:

1. It can be made by revolving a small circle (radius r) along a line made by a bigger circle (radius R).

2. It is not a polyhedron

3. It has no vertices or edges

• Surface Area
The surface area of a Torus is given by the formula –

`Surface Area = 4 × Pi^2 × R × r`
• Where r is the radius of the small circle and R is the radius of bigger circle and Pi is constant Pi=3.14159.

• Volume
The volume of a cone is given by the formula –

`Volume = 2 × Pi^2 × R × r^2`
• Where r is the radius of the small circle and R is the radius of bigger circle and Pi is constant Pi=3.14159.

Examples:

```Input : r=3, R=7
Output :
Volume: 1243.568195
Surface: 829.045464```

## C++

 `// C++ program to calculate volume``// and surface area of Torus``#include``using` `namespace` `std;` `int` `main()``{``    ``// radus of inner circle``    ``double` `r = 3;` `    ``// distance from origin to center of inner circle``    ``// radius of black circle in figure``    ``double` `R = 7;` `    ``// Value of Pi``    ``float` `pi = (``float``)3.14159;``    ``double` `Volume = 0;``    ``Volume = 2 * pi * pi * R * r * r;``    ``cout<<``"Volume: "``<

## C

 `// C program to calculate volume``// and surface area of Torus``#include ``int` `main()``{``    ``// radus of inner circle``    ``double` `r = 3;` `    ``// distance from origin to center of inner circle``    ``// radius of black circle in figure``    ``double` `R = 7;` `    ``// Value of Pi``    ``float` `pi = (``float``)3.14159;``    ``double` `Volume = 0;``    ``Volume = 2 * pi * pi * R * r * r;``    ``printf``(``"Volume: %f"``, Volume);` `    ``double` `Surface = 4 * pi * pi * R * r;``    ``printf``(``"\nSurface: %f"``, Surface);``}`

## Java

 `// Java program to calculate volume``// and surface area of Torus``class` `Test {` `    ``public` `static` `void` `main(String args[])``    ``{` `        ``// radius of inner circle``        ``double` `r = ``3``;` `        ``// distance from origin to center of inner circle``        ``// radius of black circle in figure``        ``double` `R = ``7``;` `        ``// Value of Pi``        ``float` `pi = (``float``)``3.14159``;``        ``double` `Volume = ``0``;``        ``Volume = ``2` `* pi * pi * R * r * r;``        ``System.out.printf(``"Volume: %f"``, Volume);` `        ``double` `Surface = ``4` `* pi * pi * R * r;``        ``System.out.printf(``"\nSurface: %f"``, Surface);``    ``}``}`

## Python3

 `# Python3 program to calculate volume``# and surface area of Torus``# radus of inner circle``r ``=` `3` `# distance from origin to center of inner circle``# radius of black circle in figure``R ``=` `7` `# Value of Pi``pi ``=` `3.14159``Volume ``=` `(``float``)(``2` `*` `pi ``*` `pi ``*` `R ``*` `r ``*` `r);``print``(``"Volume: "``, Volume);``Surface ``=` `(``float``)(``4` `*` `pi ``*` `pi ``*` `R ``*` `r);``print``(``"Surface: "``, Surface);`

## C#

 `// C# program to calculate volume``// and surface area of Torus``using` `System;` `class` `GFG``{``    ` `// Driver Code``public` `static` `void` `Main()``{` `    ``// radius of inner circle``    ``double` `r = 3;` `    ``// distance from origin to center``    ``// of inner circle radius of black``    ``// circle in figure``    ``double` `R = 7;` `    ``// Value of Pi``    ``float` `pi = (``float``)3.14159;``    ``double` `Volume = 0;``    ``Volume = 2 * pi * pi * R * r * r;``    ``Console.WriteLine(``"Volume: {0}"``, Volume);` `    ``double` `Surface = 4 * pi * pi * R * r;``    ``Console.WriteLine(``"Surface: {0}"``, Surface);``}``}` `// This code is contributed by Soumik`

## PHP

 ``

## Javascript

 ``
Output:
```Volume: 1243.568195
Surface: 829.045464```

Attention reader! Don’t stop learning now. Get hold of all the important DSA concepts with the DSA Self Paced Course at a student-friendly price and become industry ready.  To complete your preparation from learning a language to DS Algo and many more,  please refer Complete Interview Preparation Course.

In case you wish to attend live classes with industry experts, please refer DSA Live Classes

My Personal Notes arrow_drop_up