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
 

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 <bits/stdc++.h>
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

<?php
// PHP Program to find the biggest
// cube inscribed within a right
// circular cylinder

// Function to find the volume
// of the cube
function cube($h, $r)
{

    // height and radius cannot
    // be negative
    if ($h < 0 && $r < 0)
        return -1;

    // volume of the cube
    $a = pow($h, 3);

    return $a;
}

// Driver code
$h = 5;
$r = 4;
echo cube($h, $r);

// This code is contributed by @Tushil.
?>

Javascript

<script>

// javascript Program to find the biggest cube
// inscribed within a right circular cylinder

// Function to find the volume of the cube
function cube(h , r)
{

    // height and radius cannot be negative
    if (h < 0 && r < 0)
        return -1;

    // volume of the cube
    var a = Math.pow(h, 3);

    return a;
}

// Driver code

var h = 5, r = 4;
document.write( cube(h, r) );

// This code is contributed by 29AjayKumar

</script>

Output:

125

Time Complexity: O(1)
Auxiliary Space: O(1), As we are not using any extra space.