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

C++Server Side ProgrammingProgramming

Given with the radius and height of cylindrical water tank, ‘n’ number of spherical solid balls with the radius and the volume of water in the tank and the task is to check whether the tank will overflow or not when balls are dipped in the tank.

## Formula to calculate the volume

Cylinder

3.14 * r * r * h

Where, r is radius of tank and h is the height of the tank

Sphere

(4/3) * 3.14 * R * R * R

Where, R is radius of sphere ball

Input

tank_height = 5
water_volume = 10
capacity = 10
ball_radius = 2

Output

It will overflow

## Approach used below is as follows

• Input the given dimensions like radius of tank, height of tank, number of balls to be dipped and radius of shere

• Calculate the capacity (volume) of a tank by applying the formula

• Calculate the volume of a sphere by applying its formula

• Calculate the volume of a water as the volume will increase whenever the ball is dipped into a water tank.

• Calculate the total volume by adding the volume of water and volume of sphere

• Check the condition to state whether the tank will overflow or not

• If the total volume is greater than capacity than tank will overflow

• If the total volume is lesser than capacity than tank will not overflow

## Algorithm

Step 1→ declare function to check whether tank will overflow or not
void overflow(int H, int r, int h, int N, int R)
declare float tank_cap = 3.14 * r * r * H
declare float water_vol = 3.14 * r * r * h
declare float balls_vol = N * (4 / 3) * 3.14 * R * R * R
declare float vol = water_vol + balls_vol
IF (vol > tank_cap)
Print it will overflow
End
Else
Print No it will not overflow
End
Step 2→ In main()
Declare int tank_height = 5, tank_radius = 2, water_volume = 10,
capacity = 10, ball_radius = 2
call overflow(tank_height, tank_radius, water_volume, capacity, ball_radius)

## Example

Live Demo

#include <bits/stdc++.h>
using namespace std;
//check whether tank will overflow or not
void overflow(int H, int r, int h, int N, int R){
float tank_cap = 3.14 * r * r * H;
float water_vol = 3.14 * r * r * h;
float balls_vol = N * (4 / 3) * 3.14 * R * R * R;
float vol = water_vol + balls_vol;
if (vol > tank_cap){
cout<<"it will overflow";
}
else{
cout<<"No it will not overflow";
}
}
int main(){
int tank_height = 5, tank_radius = 2, water_volume = 10, capacity = 10, ball_radius = 2;
}
it will overflow