球体内部可内切的最大立方体
这里给定的是一个半径为 r 的球体，任务是找到最大立方体的可以放入其中的一边。 例:
Input: r = 8
Output: 9.2376
Input: r = 5
Output: 5.7735
接近 :
立方体的边= a 球体的半径= r 从对角线上看，很明显，立方体的对角线=球体的直径， a√3 = 2r 或者， a = 2r/√3
下面是实现:
C++
// C++ Program to find the biggest cube
// inscribed within a sphere
#include <bits/stdc++.h>
using namespace std;
// Function to find the side of the cube
float largestCube(float r)
{
// radius cannot be negative
if (r < 0)
return -1;
// side of the cube
float a = (2 * r) / sqrt(3);
return a;
}
// Driver code
int main()
{
float r = 5;
cout << largestCube(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 biggest cube
// inscribed within a sphere
import java.util.*;
class Solution{
// Function to find the side of the cube
static float largestCube(float r)
{
// radius cannot be negative
if (r < 0)
return -1;
// side of the cube
float a = (2 * r) / (float)Math.sqrt(3);
return a;
}
// Driver code
public static void main(String args[])
{
float r = 5;
System.out.println( largestCube(r));
}
}
//contributed by Arnab Kundu
Python 3
# Python 3 Program to find the biggest
# cube inscribed within a sphere
from math import sqrt
# Function to find the side of the cube
def largestCube(r):
# radius cannot be negative
if (r < 0):
return -1
# side of the cube
a = (2 * r) / sqrt(3)
return a
# Driver code
if __name__ == '__main__':
r = 5
print("{0:.6}".format(largestCube(r)))
# This code is contributed
# by SURENDRA_GANGWAR
C
// C# Program to find the biggest cube
// inscribed within a sphere
using System;
class Solution{
// Function to find the side of the cube
static float largestCube(float r)
{
// radius cannot be negative
if (r < 0)
return -1;
// side of the cube
float a = (2 * r) / (float)Math.Sqrt(3);
return a;
}
// Driver code
static void Main()
{
float r = 5;
Console.WriteLine( largestCube(r));
}
}
//This code is contributed by mits
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 sphere
// Function to find the side
// of the cube
function largestCube($r)
{
// radius cannot be negative
if ($r < 0)
return -1;
// side of the cube
$a = (float)((2 * $r) / sqrt(3));
return $a;
}
// Driver code
$r = 5;
echo largestCube($r);
// This code is contributed by akt_mit
?>
java 描述语言
<script>
// javascript Program to find the biggest cube
// inscribed within a sphere
// Function to find the side of the cube
function largestCube(r)
{
// radius cannot be negative
if (r < 0)
return -1;
// side of the cube
var a = (2 * r) / Math.sqrt(3);
return a;
}
// Driver code
var r = 5;
document.write( largestCube(r).toFixed(5));
// This code is contributed by 29AjayKumar
</script>
Output:
5.7735
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