📜  可插入直圆柱体的最长杆

📅  最后修改于: 2021-10-23 08:10:36             🧑  作者: Mango

给定一个正圆柱体的高度h  , & 半径r  .任务是找到可以插入其中的最长杆的长度。
例子

Input : h = 4, r = 1.5
Output : 5

Input : h= 12, r = 2.5
Output : 13

方法
从图中可以看出,我们可以利用毕达哥拉斯定理,以圆柱的高度垂线直径,杆的长度斜边,得到杆的长度
所以, l 2 = h 2 + 4*r 2
所以,

l = √(h2 + 4*r2)

下面是上述方法的实现:

C++
// C++ Program to find the longest rod
// that can be fit within a right circular cylinder
#include 
using namespace std;
 
// Function to find the side of the cube
float rod(float h, float r)
{
 
    // height and radius cannot be negative
    if (h < 0 && r < 0)
        return -1;
 
    // length of rod
    float l = sqrt(pow(h, 2) + 4 * pow(r, 2));
    return l;
}
 
// Driver code
int main()
{
    float h = 4, r = 1.5;
 
    cout << rod(h, r) << endl;
 
    return 0;
}


Java
// Java Program to find the longest rod
// that can be fit within a right circular cylinder
 
import java.io.*;
 
class GFG {
    
 
// Function to find the side of the cube
static float rod(float h, float r)
{
 
    // height and radius cannot be negative
    if (h < 0 && r < 0)
        return -1;
 
    // length of rod
    float l = (float)(Math.sqrt(Math.pow(h, 2) + 4 * Math.pow(r, 2)));
    return l;
}
 
// Driver code
 
 
    public static void main (String[] args) {
            float h = 4;
            float r = 1.5f;
            System.out.print(rod(h, r));
    }
}
// This code is contributed by anuj_67..


Python 3
# Python 3 Program to find the longest
# rod that can be fit within a right
# circular cylinder
import math
 
# Function to find the side of the cube
def rod(h, r):
     
    # height and radius cannot
    # be negative
    if (h < 0 and r < 0):
        return -1
 
    # length of rod
    l = (math.sqrt(math.pow(h, 2) +
               4 * math.pow(r, 2)))
    return float(l)
 
# Driver code
h , r = 4, 1.5
print(rod(h, r))
 
# This code is contributed
# by PrinciRaj1992


C#
// C# Program to find the longest
// rod that can be fit within a
// right circular cylinder
using System;
 
class GFG
{
 
// Function to find the side
// of the cube
static float rod(float h, float r)
{
 
    // height and radius cannot
    // be negative
    if (h < 0 && r < 0)
        return -1;
 
    // length of rod
    float l = (float)(Math.Sqrt(Math.Pow(h, 2) +
                            4 * Math.Pow(r, 2)));
    return l;
}
 
// Driver code
public static void Main ()
{
    float h = 4;
    float r = 1.5f;
    Console.WriteLine(rod(h, r));
}
}
 
// This code is contributed by shs


PHP


Javascript


输出:
5