当n个实心球浸入水箱时，检查水箱是否溢出的程序

给定圆柱形水箱的尺寸，球形实心球和水箱中的水量，检查将球浸入水箱时水箱是否会溢出。
例子 ：

input : H = 10, r =  5
        h = 5
        N = 2, R = 2
output : Not in overflow state
Explanation :
water tank capacity = 3.14 * r * r * H
                    = 3.14 * 5 * 5 * 10
                    = 785 

volume of water in tank = 3.14 * r * r * h
                        = 3.14 * 5 * 5 * 5
                        = 392.5
     
Volume of balls = N * (4/3) * 3.14 * R * R * R
                = 2 * (4/3) * 3.14 * 2 * 2 * 2
                = 67.02
Total volume of water + dip balls = 392.5 + 67.02
                                  = 459.52

Total volume (459.02) < tank capacity (785)
So, there is no overflow in tank

input : H = 5, r = 3 
        h = 3
        N = 3, R = 2
output : Overflow
Explanation:
water tank capacity = 3.14 * r * r * H
                    = 3.14 * 3 * 3 * 5
                    = 141.3

volume of water in tank = 3.14 * r * r * h
                        = 3.14 * 3 * 3 * 3
                        = 84.78

volume of balls = N * (4/3) * 3.14 * R * R * R
                = 3 * (4/3) * 3.14 * 2 * 2 * 2
                = 100.48

Total volume of water + dip balls = 84.78 + 100.48
                                  = 185.26

Total volume (185.26) > tank capacity (141.3)
So, tank will overflow

方法：
当实心球浸入水中时，水位会增加，因此水量也会增加。
水量增加=浸球总体积
圆柱体积 = 3.14 * r * r * h
其中： r：坦克半径
h：水箱高度
球数为n
球具有球体的形状
球体体积 = (4/3) * 3.14 * R * R * R
其中 R：球体的（实心球）半径
浸完所有球后，如果水和所有球的总体积小于或等于罐容量的总和，则罐内不会溢出，否则会溢出。
下面是上述方法的实现：

C++

// C++ Program to check if water tank
// overflows when n solid balls are
// dipped in the water tank
#include 
using namespace std;
 
// function to find if tak will
// overflow or not
void overflow(int H, int r, int h,
              int N, int R)
{
    // cylinder capacity
    float tank_cap = 3.14 * r * r * H;
 
    // volume of water in tank
    float water_vol = 3.14 * r * r * h;
 
    // volume of n balls
    float balls_vol = N * (4 / 3) * 3.14 * R * R * R;
 
    // total volume of water
    // and n dipped balls
    float vol = water_vol + balls_vol;
 
    /* condition to check if tank is in
    overflow state or not */
    if (vol > tank_cap) {
        cout << "Overflow" << endl;
    }
    else {
        cout << "Not in overflow state"
             << endl;
    }
}
 
// main function
int main()
{
    // giving dimensions
    int H = 10, r = 5, h = 5,
        N = 2, R = 2;
 
    // calling function
    overflow(H, r, h, N, R);
    return 0;
}

Java

// JAVA Code for Program to check if
// water tank overflows
import java.util.*;
 
class GFG {
 
    // function to find if tak will
    // overflow or not
    static void overflow(int H, int r, int h,
                         int N, int R)
    {
        // cylinder capacity
        double tank_cap = 3.14 * r * r * H;
 
        // volume of water in tank
        double water_vol = 3.14 * r * r * h;
 
        // volume of n balls
        double balls_vol = N * (4 / 3) * 3.14 * R * R * R;
 
        // total volume of water
        // and n dipped balls
        double vol = water_vol + balls_vol;
 
        /* condition to check if tank is in
        overflow state or not */
        if (vol > tank_cap) {
            System.out.println("Overflow");
        }
        else {
            System.out.println("Not in overflow state");
        }
    }
 
    /* Driver program to test above function */
    public static void main(String[] args)
    {
        // giving dimensions
        int H = 10, r = 5, h = 5,
            N = 2, R = 2;
 
        // calling function
        overflow(H, r, h, N, R);
    }
}
 
// This code is contributed by Arnav Kr. Mandal.

Python3

# Python code to check if water tank
# overflows when n solid balls are
# dipped in the water tank
 
# function to find if tak will
# overflow or not
def overflow( H, r, h, N, R ):
 
    # cylinder capacity
    tank_cap = 3.14 * r * r * H
     
    # volume of water in tank
    water_vol = 3.14 * r * r * h
     
    # volume of n balls
    balls_vol = N * (4 / 3) * 3.14 * R * R * R
     
    # total volume of water
    # and n dipped balls
    vol = water_vol + balls_vol
     
    # condition to check if tank is in
    # overflow state or not
    if vol > tank_cap:
        print("Overflow")
    else:
        print("Not in overflow state")
 
# Driver code
 
# giving dimensions
H = 10
r = 5
h = 5
N = 2
R = 2
 
# calling function
overflow (H, r, h, N, R)
 
# This code is contributed by "Sharad_Bhardwaj".

C#

// C# Code for Program to check if
// water tank overflows
using System;
 
class GFG {
 
    // function to find if tak will
    // overflow or not
    static void overflow(int H, int r, int h,
                         int N, int R)
    {
        // cylinder capacity
        double tank_cap = 3.14 * r * r * H;
 
        // volume of water in tank
        double water_vol = 3.14 * r * r * h;
 
        // volume of n balls
        double balls_vol = N * (4 / 3) * 3.14 * R * R * R;
 
        // total volume of water
        // and n dipped balls
        double vol = water_vol + balls_vol;
 
        /* condition to check if tank is in
        overflow state or not */
        if (vol > tank_cap) {
            Console.WriteLine("Overflow");
        }
        else {
            Console.WriteLine("Not in overflow state");
        }
    }
 
    /* Driver program to test above function */
    public static void Main()
    {
        // giving dimensions
        int H = 10, r = 5, h = 5,
            N = 2, R = 2;
 
        // calling function
        overflow(H, r, h, N, R);
    }
}
 
// This code is contributed by vt_M.

PHP

 $tank_cap)
    {
        echo "Overflow", "\n";
    }
    else
    {
        echo "Not in overflow state", "\n";
         
    }
}
 
// Driver Code
// giving dimensions
$H = 10; $r = 5; $h = 5;
$N = 2; $R = 2;
 
// calling function    
overflow ($H, $r, $h, $N, $R);
     
// This code is contributed by aj_36
?>

Javascript

 
// JavaScript program for Program to check if
// water tank overflows
 
    // function to find if tak will
    // overflow or not
    function overflow(H, r, h,
                         N, R)
    {
        // cylinder capacity
        let tank_cap = 3.14 * r * r * H;
   
        // volume of water in tank
        let water_vol = 3.14 * r * r * h;
   
        // volume of n balls
        let balls_vol = N * (4 / 3) * 3.14 * R * R * R;
   
        // total volume of water
        // and n dipped balls
        let vol = water_vol + balls_vol;
   
        /* condition to check if tank is in
        overflow state or not */
        if (vol > tank_cap) {
            document.write("Overflow");
        }
        else {
            document.write("Not in overflow state");
        }
    } 
 
// Driver Code
 
         // giving dimensions
        let H = 10, r = 5, h = 5,
            N = 2, R = 2;
   
        // calling function
        overflow(H, r, h, N, R);
 
// This code is contributed by chinmoy1997pal.

输出 ：

Not in overflow state