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 <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. 
?> 

Output:

My Personal Notes

Suggest a Topic

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

C++

Java

Python 3

C#

PHP

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