Write a program that illustrates the growth of the world's population using as input:

the start year

the initial population size

the annual percentage increase of the population

the end year.

You may assume that the input is valid.

Output the year, the size of the population and the population density every decade:

Surface area of a sphere is 4*π* R2

Earth’s radius [R] =3,984 miles

Fraction of surface which is land [F] = 0.29

π = PI = 3.14159

Use the total surface area of the earth (from given values for the Earth’s radius [R]) and the fraction

of the earth's surface which is land [F] to compute the land area. Specify the language used.

Initial Algorithm

CONSTANTS earth’s radius, PI, fraction of surface which is land

DECLARE necessary variables

CALCULATE the land area

INPUT the start year and the start population size

INPUT the annual percentage increase of the population

INPUT the end year

CALCULATE the annual growth rate

CALCULATE the number of decades (rounded up to the next highest integer)

CALCULATE initial population density {the initial population / land area}

PRINT headings

PRINT start year, initial population, initial population density

SET working population to the initial population size

FOR count = 1 TO number of decades DO

FOR inner count = 1 to 10 DO

CALCULATE the next working population {working population * growth

rate}

END FOR

CALCULATE the population density

UPDATE current year

PRINT current year, the working population and the population density

END FOR

-----------------below is the code i have done without errors i am stucj at the loop section----- please modify------------------

```
#include <iostream>
using namespace std;
int main()
{
double R=3984;
double PI=3.14159;
double F=0.29;
int start_year,end_year;
double an_pop_growth;
double start_pop_size;
cout <<" Welcome to the population growth calculation" <<endl;
cout <<"please enter start year: "<<endl;
cin>>start_year;
cout <<"please enter start population size: "<<endl;
cin>>start_pop_size;
cout <<" please enter end year: "<<endl;
cin>>end_year;
cout<<"please enter the annual percentage of population growth: "<<endl;
cin>>an_pop_growth;
double land_area=(4*PI*R*R)*0.29;
cout <<"land area of earth is: " <<land_area<<endl;
double an_growth_rate=an_pop_growth*start_pop_size;
cout<<"annual growth of population is: "<<an_growth_rate<<endl;
int num_decade=(end_year-start_year)/10;
double ini_pop_density=start_pop_size/land_area;
cout<<"Initial population density is : " <<ini_pop_density<<endl;
system("pause");
return 0;
}
```