可内切于直角圆锥内的最大立方体
给定半径为 r 和垂直高度为 h 的右圆锥。我们必须找到最大立方体的边长，它可以被内接在里面。 例 :
Input : h = 5, r = 6
Output : 3.14613
Input : h = 8, r = 12
Output : 5.43698
靠近 : 让，立方体的一边= a 。 从图中我们可以清楚地了解到利用三角形的性质: BC/AB = DE/AD。 因此，
r/h = (a/√2)/(h-a)
or, a = h*r√2/(h+√2*r)
以下是上述方法的实现:
C++
// C++ Program to find the biggest cube
// inscribed within a right circular cone
#include <bits/stdc++.h>
using namespace std;
// Function to find the side of the cube
float cubeSide(float h, float r)
{
// height and radius cannot be negative
if (h < 0 && r < 0)
return -1;
// side of the cube
float a = (h * r * sqrt(2)) / (h + sqrt(2) * r);
return a;
}
// Driver code
int main()
{
float h = 5, r = 6;
cout << cubeSide(h, r) << endl;
return 0;
}
Java 语言(一种计算机语言，尤用于创建网站)
// Java Program to find the the biggest cube
// which can be inscribed within a right circular cone
import java.io.*;
class GFG {
// Function to find the side of the cube
static float cube(float h, float r)
{
// height and radius cannot be negative
if (h < 0 && r < 0)
return -1;
// side of the cube
float a = (h * r * (float)Math.sqrt(2)) / (h + (float)Math.sqrt(2) * r);
return a;
}
// Driver code
public static void main (String[] args) {
float h = 5, r = 6;
System.out.println( cube(h, r));
}
}
// this article is contributed by Ishwar Gupta
Python 3
# Python3 Program to find the biggest cube
# inscribed within a right circular cone
import math
# Function to find the side of the cube
def cubeSide(h, r):
# height and radius cannot
# be negative
if (h < 0 and r < 0):
return -1
# side of the cube
a = ((h * r * math.sqrt(2)) /
(h + math.sqrt(2) * r))
return a
# Driver code
h = 5; r = 6;
print(cubeSide(h, r), "\n")
# This code is contributed
# by Akanksha Rai
C
// C# Program to find the the
// biggest cube which can be
// inscribed within a right
// circular cone
using System;
class GFG
{
// Function to find the side
// of the cube
static float cube(float h, float r)
{
// height and radius cannot be negative
if (h < 0 && r < 0)
return -1;
// side of the cube
float a = (h * r * (float)Math.Sqrt(2)) /
(h + (float)Math.Sqrt(2) * r);
return a;
}
// Driver code
public static void Main ()
{
float h = 5, r = 6;
Console.Write( cube(h, r));
}
}
// This code is contributed
// by 29AjayKumar
服务器端编程语言（Professional Hypertext Preprocessor 的缩写）
<?php
// PHP Program to find the biggest cube
// inscribed within a right circular cone
// Function to find the side of the cube
function cubeSide($h, $r)
{
// height and radius cannot
// be negative
if ($h < 0 && $r < 0)
return -1;
// side of the cube
$a = ($h * $r * sqrt(2)) /
($h + sqrt(2) * $r);
return $a;
}
// Driver code
$h = 5;
$r = 6;
echo cubeSide($h, $r);
// This code is contributed
// by Shivi_Aggarwal
?>
java 描述语言
<script>
// javascript Program to find the the biggest cube
// which can be inscribed within a right circular cone
// Function to find the side of the cube
function cube(h , r)
{
// height and radius cannot be negative
if (h < 0 && r < 0)
return -1;
// side of the cube
var a = (h * r * Math.sqrt(2)) / (h + Math.sqrt(2) * r);
return a;
}
// Driver code
var h = 5, r = 6;
document.write( cube(h, r).toFixed(5));
// This code is contributed by 29AjayKumar
</script>
Output:
3.14613
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