Percentage increase in volume of the sphere if radius is increased by a given percentage

Given here is a sphere, whose radius is increased by a given percentage. The task is to find the percentage increase in the volume of the sphere.**Examples:**

Input:x = 10Output:33.1%Input:x = 50Output:237.5%

**Approach**:

- Let, the radius of the sphere =
**a** - given percentage increase =
**x%** - volume before increase =
**4/3*πa^3** - new radius after increase =
**a + ax/100** - so,
**new volume = 4/3*π(a^3 + (ax/100)^3 + 3a^3x/100 + 3a^3x^2/10000)** - change in volume =
**4/3*π((ax/100)^3 + 3a^3x/100 + 3a^3x^2/10000)** - percentage increase in volume =
**(4/3*π*((ax/100)^3 + 3a^3x/100 + 3a^3x^2/10000)/4/3*π*a^3) * 100 = x^3/10000 + 3x + 3x^2/100**

## C++

`// C++ program to find percentage increase` `// in the volume of the sphere` `// if radius is increased by a given percentage` `#include <bits/stdc++.h>` `using` `namespace` `std;` `void` `newvol(` `double` `x)` `{` ` ` `cout << ` `"percentage increase in the"` ` ` `<< ` `" volume of the sphere is "` ` ` `<< ` `pow` `(x, 3) / 10000 + 3 * x` ` ` `+ (3 * ` `pow` `(x, 2)) / 100` ` ` `<< ` `"%"` `<< endl;` `}` `// Driver code` `int` `main()` `{` ` ` `double` `x = 10;` ` ` `newvol(x);` ` ` `return` `0;` `}` |

## Java

`// Java program to find percentage increase` `// in the volume of the sphere` `// if radius is increased by a given percentage` `import` `java.io.*;` `class` `GFG` `{` `static` `void` `newvol(` `double` `x)` `{` ` ` `System.out.print( ` `"percentage increase in the"` ` ` `+ ` `" volume of the sphere is "` ` ` `+( Math.pow(x, ` `3` `) / ` `10000` `+ ` `3` `* x` ` ` `+ (` `3` `* Math.pow(x, ` `2` `)) / ` `100` `)` ` ` `+ ` `"%"` `);` `}` `// Driver code` `public` `static` `void` `main (String[] args)` `{` ` ` `double` `x = ` `10` `;` ` ` `newvol(x);` `}` `}` `// This code is contributed by anuj_67..` |

## Python3

`# Python3 program to find percentage increase` `# in the volume of the sphere` `# if radius is increased by a given percentage` `def` `newvol(x):` ` ` `print` `(` `"percentage increase in the"` ` ` `" volume of the sphere is "` ` ` `,` `pow` `(x, ` `3` `) ` `/` `10000` `+` `3` `*` `x` ` ` `+` `(` `3` `*` `pow` `(x, ` `2` `)) ` `/` `100` ` ` `,` `"%"` `)` `# Driver code` `x ` `=` `10.0` `newvol(x)` `# This code is contributed mohit kumar 29` |

## C#

`// C# program to find percentage increase` `// in the volume of the sphere` `// if radius is increased by a given percentage` `using` `System;` `class` `GFG` `{` `static` `void` `newvol(` `double` `x)` `{` ` ` `Console.WriteLine( ` `"percentage increase in the"` ` ` `+ ` `" volume of the sphere is "` ` ` `+( Math.Pow(x, 3) / 10000 + 3 * x` ` ` `+ (3 * Math.Pow(x, 2)) / 100)` ` ` `+ ` `"%"` `);` `}` `// Driver code` `public` `static` `void` `Main ()` `{` ` ` `double` `x = 10;` ` ` `newvol(x);` `}` `}` `// This code is contributed by anuj_67..` |

## Javascript

`<script>` `// javascript program to find percentage increase` `// in the volume of the sphere` `// if radius is increased by a given percentage` `function` `newvol(x)` `{` ` ` `document.write( ` `"percentage increase in the"` ` ` `+ ` `" volume of the sphere is "` ` ` `+( Math.pow(x, 3) / 10000 + 3 * x` ` ` `+ (3 * Math.pow(x, 2)) / 100)` ` ` `+ ` `"%"` `);` `}` `// Driver code` `var` `x = 10;` `newvol(x);` `// This code is contributed by 29AjayKumar` `</script>` |

**Output:**

percentage increase in the volume of the sphere is 33.1%

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