Based on the following information from Alex Finch I managed to reduce the size of the 
LogVol00 to 70GB, leaving a free space total of 4.41 GB on the dev/hdc hard disk.
Since the swap file occupied space on /dev/hdf, I removed it via lvremove 
/dev/VolGroup00/LogVol01.


There is a new question now. How can I create and activate a swap file on VolGroup00?



Alex Finch wrote:
> 
>  If you look in the LVM howto, you find this>>
> 
>  11.10. Reducing a logical volume
> 
> Logical volumes can be reduced in size as well as increased. However, it 
> is very important to remember to reduce the size of the file system or 
> whatever is residing in the volume before shrinking the volume itself, 
> otherwise you risk losing data.
> 
> 
> 
>       If you prefer to do this manually you must know the new size of 
> the volume in blocks and use the following commands:
> 
>       # umount /home
>       # resize2fs /dev/myvg/homevol 524288
>       # lvreduce -L-1G /dev/myvg/homevol
>       # mount /home
> 
> 
> In order to do this you need to boot from a live cd,
> 
> I guess you need
>  resize2fs /dev/mapper/VolGroup00-LogVol00 80G
> and
>  lvreduce -L80G /dev/mapper/VolGroup00-LogVol00
> 
> not sure what your /dev/VolGroup00/LogVol01 is for though. You may be 
> able to remove it (lvremove /dev/VolGroup00/LogVol01)
> 
> if you get it right when you do vgdisplay -v it will show  /dev/hdf1 has 
> Free PE = Total PE = 894, so you know it is safe to remove it.