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; } |
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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 |
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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
[tabby title="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 |
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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. ?> |
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Output:
125
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