Program to check if water tank overflows when n solid balls are dipped in the water tank

Given the dimensions of cylindrical water tank, spherical solid balls and the amount of water present in the tank check if water tank will overflow when balls are dipped in the water tank.

Examples :

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

Approach:
When solid balls are dipped in water, level of water increases, hence volume of water will also increase.
Increasing in water volume = Total volume of dip balls

Volume of Cylinder = 3.14 * r * r * h
h: height of tank

Number of balls are n
Balls have shape of Sphere
Volume of Sphere = (4/3) * 3.14 * R * R * R

After dipping all balls, if the total volume of water and all balls is less than or equal to the total volume of tank capacity then there will no overflow in tank, otherwise there will be overflow.

Below is the implementation of above approach:

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", " ";      }     else     {         echo "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 aj_36 ?>

Output :

Not in overflow state