# Largest cube that can be inscribed within a right circular cylinder

Given here is a right circular cylinder of height h and radius r. The task is to find the volume of biggest cube that can be inscribed within it.

Examples:

```Input: h = 3, r = 2
Output: volume = 27

Input: h = 5, r = 4
Output: volume = 125
```

## Recommended: Please try your approach on {IDE} first, before moving on to the solution.

Approach: From the figure, it can be clearly understand that side of the cube = height of the cylinder.
So, the volume = (height)^3

Below is the implementation of the above approach:

## C++

 `// C++ Program to find the biggest cube ` `// inscribed within a right circular cylinder ` `#include ` `using` `namespace` `std; ` ` `  `// Function to find the volume of the cube ` `float` `cube(``float` `h, ``float` `r) ` `{ ` ` `  `    ``// height and radius cannot be negative ` `    ``if` `(h < 0 && r < 0) ` `        ``return` `-1; ` ` `  `    ``// volume of the cube ` `    ``float` `a = ``pow``(h, 3); ` ` `  `    ``return` `a; ` `} ` ` `  `// Driver code ` `int` `main() ` `{ ` `    ``float` `h = 5, r = 4; ` `    ``cout << cube(h, r) << endl; ` ` `  `    ``return` `0; ` `} `

## Java

 `// Java Program to find the biggest cube  ` `// inscribed within a right circular cylinder  ` `class` `Solution ` `{ ` `     `  ` `  `// Function to find the volume of the cube  ` `static` `float` `cube(``float` `h, ``float` `r)  ` `{  ` ` `  `    ``// height and radius cannot be negative  ` `    ``if` `(h < ``0` `&& r < ``0``)  ` `        ``return` `-``1``;  ` ` `  `    ``// volume of the cube  ` `    ``float` `a = (``float``)Math.pow(h, ``3``);  ` ` `  `    ``return` `a;  ` `}  ` ` `  `// Driver code  ` `public` `static` `void` `main(String args[]) ` `{  ` `    ``float` `h = ``5``, r = ``4``;  ` `    ``System.out.println( cube(h, r) );  ` `} ` `}  ` `//contributed by Arnab Kundu `

## Python 3

 `# Python 3 Program to find the biggest cube ` `# inscribed within a right circular cylinder ` `import` `math ` ` `  `# Function to find the volume of the cube ` `def` `cube(h, r): ` ` `  `    ``# height and radius cannot be negative ` `    ``if` `(h < ``0` `and` `r < ``0``): ` `        ``return` `-``1` ` `  `    ``# volume of the cube ` `    ``a ``=` `math.``pow``(h, ``3``) ` ` `  `    ``return` `a ` ` `  `# Driver code ` `h ``=` `5``; r ``=` `4``; ` `print``(cube(h, r)); ` ` `  `# This code is contributed ` `# by Akanksha Rai `

## C#

 `// C# Program to find the biggest ` `// cube inscribed within a right  ` `// circular cylinder  ` `using` `System; ` `                     `  `class` `GFG ` `{ ` ` `  `// Function to find the volume ` `// of the cube  ` `static` `float` `cube(``float` `h, ``float` `r)  ` `{  ` ` `  `    ``// height and radius cannot ` `    ``// be negative  ` `    ``if` `(h < 0 && r < 0)  ` `        ``return` `-1;  ` ` `  `    ``// volume of the cube  ` `    ``float` `a = (``float``)Math.Pow(h, 3);  ` ` `  `    ``return` `a;  ` `}  ` ` `  `// Driver code  ` `public` `static` `void` `Main() ` `{  ` `    ``float` `h = 5, r = 4;  ` `    ``Console.Write( cube(h, r) );  ` `} ` `} ` ` `  `// This code is contributed  ` `// by 29AjayKumar `

## PHP

 ` `

Output:

```125
```

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