In Active database, even if you take a hot backup and restore, restore with archive logs and the latest controlfile,(get controlfile using alter database backup controlfile as '.....'. and then let oracle do recovery, if it gives errors, then run manual recovery.

The problem here is, u did not get the controlfile after the hot backup.
U do recover database using backup controlfile, only when u loase the controlfiles and u have the recent backup.


Right noe , u have lost everything, restore everything from backup.