How to call stopservice() method of Service class from the calling activity class

In fact to stopping the service we must use the method stopService() and you are doing in right way:

Start service:

  Intent myService = new Intent(MainActivity.this, BackgroundSoundService.class);
  startService(myService);

Stop service:

  Intent myService = new Intent(MainActivity.this, BackgroundSoundService.class);
  stopService(myService);

if you call stopService(), then the method onDestroy() in the service is called (NOT the stopService() method):

  @Override
    public void onDestroy() {
      timer.cancel();
      task.cancel();    
        Log.i(TAG, "onCreate() , service stopped...");
    }

you must implement the onDestroy() method!.

Here is a complete example including how to start/stop the service.