If you re-run vgdisplay now, you should see some free space.
10. Extend the lv
$ sudo lvextend -l +100%FREE /dev/vg1/volume_1
Size of logical volume vg1/volume_1 changed from 15.39 GiB (3939 extents) to 20.48 GiB (5244 extents).
Logical volume volume_1 successfully resized.
11. Finally, extend the filesystem (this is for ext4, there is a different command for btrfs)
$ sudo resize2fs -f /dev/vg1/volume_1
resize2fs 1.42.6 (21-Sep-2012)
Filesystem at /dev/vg1/volume_1 is mounted on /volume1; on-line resizing required
old_desc_blocks = 2, new_desc_blocks = 3
The filesystem on /dev/vg1/volume_1 is now 5369856 blocks long.
12. And reboot one last time (sudo shutdown -r now)
ESXI, Unable to expand Syno Volume, even after disk space increased
in DSM 6.x
Posted
This works well! You are a hero.