立方体内可内切的最大圆锥体
这里给出的是一个边长为和的立方体。我们必须找到最大的右圆锥的高度和半径，它可以被内接在里面。 示例 :
Input : a = 6
Output : r = 4.24264, h = 6
Input : a = 10
Output : r = 7.07107, h = 10
接近 : 让圆锥体的高度= h 。 和，圆锥半径= r 。 从图中我们可以清楚地了解到，
- r = a/√2
- h = a
以下是上述方法的实现:
C++
// C++ Program to find the biggest cone
// inscribed within a cube
#include <bits/stdc++.h>
using namespace std;
// Function to find the radius of the cone
float coneRadius(float a)
{
// side cannot be negative
if (a < 0)
return -1;
// radius of the cone
float r = a / sqrt(2);
return r;
}
// Function to find the height of the cone
float coneHeight(float a)
{
// side cannot be negative
if (a < 0)
return -1;
// height of the cone
float h = a;
return h;
}
// Driver code
int main()
{
float a = 6;
cout << "r = " << coneRadius(a) << ", "
<< "h = " << coneHeight(a) << 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
// cone inscribed within a cube
import java.util.*;
import java.lang.*;
class GFG
{
// Function to find the radius
// of the cone
static float coneRadius(float a)
{
// side cannot be negative
if (a < 0)
return -1;
// radius of the cone
float r = (float)(a / Math.sqrt(2));
return r;
}
// Function to find the height
// of the cone
static float coneHeight(float a)
{
// side cannot be negative
if (a < 0)
return -1;
// height of the cone
float h = a;
return h;
}
// Driver code
public static void main(String args[])
{
float a = 6;
System.out.println("r = " + coneRadius(a) +
", " + "h = " + coneHeight(a));
}
}
// This code is contributed
// by Akanksha Rai
Python 3
# Python 3 Program to find the biggest
# cone inscribed within a cube
import math
# Function to find the radius
# of the cone
def coneRadius(a):
# side cannot be negative
if (a < 0):
return -1
# radius of the cone
r = a / math.sqrt(2)
return r
# Function to find the height of the cone
def coneHeight(a):
# side cannot be negative
if (a < 0):
return -1
# height of the cone
h = a
return h
# Driver code
if __name__ == "__main__":
a = 6
print("r = ", coneRadius(a) ,
"h = ", coneHeight(a))
# This code is contributed by ChitraNayal
C
// C# Program to find the biggest
// cone inscribed within a cube
using System;
class GFG
{
// Function to find the radius
// of the cone
static float coneRadius(float a)
{
// side cannot be negative
if (a < 0)
return -1;
// radius of the cone
float r = (float)(a / Math.Sqrt(2));
return r;
}
// Function to find the height
// of the cone
static float coneHeight(float a)
{
// side cannot be negative
if (a < 0)
return -1;
// height of the cone
float h = a;
return h;
}
// Driver code
public static void Main()
{
float a = 6;
Console.WriteLine("r = " + coneRadius(a) +
", " + "h = " + coneHeight(a));
}
}
// This code is contributed
// by Akanksha Rai
服务器端编程语言（Professional Hypertext Preprocessor 的缩写）
<?php
// PHP Program to find the biggest
// cone inscribed within a cube
// Function to find the radius
// of the cone
function coneRadius($a)
{
// side cannot be negative
if ($a < 0)
return -1;
// radius of the cone
$r = $a / sqrt(2);
return $r;
}
// Function to find the height
// of the cone
function coneHeight($a)
{
// side cannot be negative
if ($a < 0)
return -1;
// height of the cone
$h = $a;
return $h;
}
// Driver code
$a = 6;
echo ("r = ");
echo coneRadius($a);
echo (", ");
echo ("h = ");
echo (coneHeight($a));
// This code is contributed
// by Shivi_Aggarwal
?>
java 描述语言
<script>
// javascript Program to find the biggest
// cone inscribed within a cube
// Function to find the radius
// of the cone
function coneRadius(a)
{
// side cannot be negative
if (a < 0)
return -1;
// radius of the cone
var r = (a / Math.sqrt(2));
return r;
}
// Function to find the height
// of the cone
function coneHeight(a)
{
// side cannot be negative
if (a < 0)
return -1;
// height of the cone
var h = a;
return h;
}
// Driver code
var a = 6;
document.write("r = " + coneRadius(a).toFixed(5) +
", " + "h = " + coneHeight(a));
// This code is contributed by 29AjayKumar
</script>
Output:
r = 4.24264, h = 6
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