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 cubefloat 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 codeint 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 cylinderimport math# Function to find the volume of the cubedef 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 codeh = 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.
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