I'm doing this code for the sole purpose in trying out how to get the password field masked. Any suggestions on where to go next?

#include <iostream>
#include <cmath>
#include <stdio.h>
#include <cstring>
#include <conio.h>

using namespace std;
inline void keep_window_open() { char ch; cin>>ch; }

int main()
{
    cout << "Welcome to the Classified Network, DOD842349729961971\n";
    cout << "Username: \n";
    string admin = "gardinerca";
    string root_password = "password1";
    string full_name = "User Name";
    string name;
    cin >> name; 
    if (name == admin)
       {
       printf("Password: ");
       char password[10];
       int i;
       for (i = 0; i <= 10; i++)
           {
           int c = getch();
       if (c == '\n' || c == EOF)
       break;           
       password[i] = c;
       printf("*");
       }
       password[i] = '\0';
                 if (strcmp(password, root_password) == 0)
                   {
                        system("CLS");
                        cout << "Welcome " << full_name << " to the Classified Network\n";
                        cout << "Would you like to play a game? (Y or N)\n";
                        string play_game;
                        cin >> play_game;
                        if (play_game == "Y")
                           {
                            cout << "How many balls can you stick in your mouth?\n";
                            int balls;
                            cin >> balls;
                            string one;
                            string two;
                            one = "One Ball";
                            two = "Two Ball's";
                            if (balls == 1)                 
                                      cout << "You can honestly stick " << one << " in your mouth?";          
                            }          
                        else 
                             {
                             cout << "You have selected the No Option. Thats fine...we don't want to play with you either\n";                                       
                             }
                   }
           else
               {
                        cout << "Invaild Password. Please contact system administrator.\n";
                        cin.clear(); 
                        system ("PAUSE");
               }

    else 
         {
         cout << "No Username found. Please contact system administrator.\n";
         cin.clear(); 
         system ("PAUSE");
         }                  
return 0;
}