立方体内最大的右圆柱体
给定一个边长为和的立方体。任务是找出最大的右圆柱体内可内接的体积。 例:
Input : a = 4
Output : 50.24
Input : a = 5
Output : 98.125
进场 : 让:
- 气缸高度为 h 。
- 圆柱体的半径为 r 。
从图中可以清楚地看到:
- 圆柱体的高度=立方体的边
- 圆柱体的半径=立方体的边/2
所以，
h = a
r = a/2
以下是上述方法的实现:
C++
// C++ Program to find the biggest right
// circular cylinder that can be fit within a cube
#include <bits/stdc++.h>
using namespace std;
// Function to find the biggest right circular cylinder
float findVolume(float a)
{
// side cannot be negative
if (a < 0)
return -1;
// radius of right circular cylinder
float r = a / 2;
// height of right circular cylinder
float h = a;
// volume of right circular cylinder
float V = 3.14 * pow(r, 2) * h;
return V;
}
// Driver code
int main()
{
float a = 5;
cout << findVolume(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 right
// circular cylinder that can be fit within a cube
import java.io.*;
class GFG {
// Function to find the biggest right circular cylinder
static float findVolume(float a)
{
// side cannot be negative
if (a < 0)
return -1;
// radius of right circular cylinder
float r = a / 2;
// height of right circular cylinder
float h = a;
// volume of right circular cylinder
float V = (float)(3.14 * Math.pow(r, 2) * h);
return V;
}
// Driver code
public static void main (String[] args) {
float a = 5;
System.out.print(findVolume(a));
}
}
// This code is contributed by anuj_67..
Python 3
# Python3 Program to find the biggest
# right circular cylinder that can be
# fit within a cube
# Function to find the biggest right
# circular cylinder
def findVolume(a) :
# side cannot be negative
if (a < 0) :
return -1
# radius of right circular cylinder
r = a / 2
# height of right circular cylinder
h = a
# volume of right circular cylinder
V = 3.14 * pow(r, 2) * h
return V
# Driver code
if __name__ == "__main__" :
a = 5
print(findVolume(a))
# This code is contributed by Ryuga
C
// C# Program to find the biggest right
// circular cylinder that can be fit within a cube
using System;
class GFG {
// Function to find the biggest right circular cylinder
static float findVolume(float a)
{
// side cannot be negative
if (a < 0)
return -1;
// radius of right circular cylinder
float r = a / 2;
// height of right circular cylinder
float h = a;
// volume of right circular cylinder
float V = (float)(3.14 * Math.Pow(r, 2) * h);
return V;
}
// Driver code
public static void Main () {
float a = 5;
Console.WriteLine(findVolume(a));
}
}
// This code is contributed by anuj_67..
服务器端编程语言（Professional Hypertext Preprocessor 的缩写）
<?php
// PHP Program to find the biggest
// right circular cylinder that can
// be fit within a cube
// Function to find the biggest
// right circular cylinder
function findVolume($a)
{
// side cannot be negative
if ($a < 0)
return -1;
// radius of right circular cylinder
$r = $a / 2;
// height of right circular cylinder
$h = $a;
// volume of right circular cylinder
$V = 3.14 * pow($r, 2) * $h;
return $V;
}
// Driver code
$a = 5;
echo findVolume($a) . "\n";
// This code is contributed
// by Akanksha Rai
java 描述语言
<script>
// Javascript Program to find the biggest right
// circular cylinder that can be fit within a cube
// Function to find the biggest right circular cylinder
function findVolume(a)
{
// side cannot be negative
if (a < 0)
return -1;
// radius of right circular cylinder
var r = a / 2;
// height of right circular cylinder
var h = a;
// volume of right circular cylinder
var V = (3.14 * Math.pow(r, 2) * h);
return V;
}
// Driver code
var a = 5;
document.write(findVolume(a));
// This code is contributed by Princi Singh
</script>
Output:
98.125
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