# 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 = 10
Output: 33.1%

Input: x = 50
Output: 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 ` `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.. `

Output:

```percentage increase in the volume of the sphere is 33.1%
```

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Improved By : vt_m, mohit kumar 29

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