As with other logical volumes you cannot the extend / volume easily.
df output shows only 16 GB is used, check the list of all the open files via lsof command so that you can get an idea which is causing high disk space consumption by looking at the output.
In case you created a new 10 GB logical volume (besides your non-LVM root disk), you cannot attach a logical volume to a disk that is not managed by LVM.
lvdisplay
--- Logical volume ---
LV Name /dev/vg0/lvm
VG Name vg0
LV UUID 4q8Yrk-wkJh-cxyY-rVil-9nNs-Td3i-ZoMfey
LV Write Access read/write
LV Status available
# open 1
LV Size 10.00 GB
Current LE 2560
Segments 1
Allocation inherit
Read ahead sectors auto
- currently set to 256
Block device 253:0
[root@UPID-RHEL7 ~]#
[root@UPID-RHEL7 ~]# vgdisplay
--- Volume group ---
VG Name vg0
System ID
Format lvm2
Metadata Areas 1
Metadata Sequence No 2
VG Access read/write
VG Status resizable
MAX LV 0
Cur LV 1
Open LV 1
Max PV 0
Cur PV 1
Act PV 1
VG Size 301.43 GB
PE Size 4.00 MB
Total PE 77165
Alloc PE / Size 2560 / 10.00 GB
Free PE / Size 74605 / 291.43 GB
VG UUID Jpz5kZ-iaJd-HedN-Ehab-oQgX-XRXL-eQKOCy
[root@UPID-RHEL7 ~]#
[root@UPID-RHEL7 ~]# pvdisplay
--- Physical volume ---
PV Name /dev/sda6
VG Name vg0
PV Size 301.43 GB / not usable 2.90 MB
Allocatable yes
PE Size (KByte) 4096
Total PE 77165
Free PE 74605
Allocated PE 2560
PV UUID Y79DFU-DlDa-jcvZ-1vcS-aufc-8J00-hUAVUs
[root@UPID-RHEL7 ~]#
[root@UPID-RHEL7 ~]# fdisk -l
Disk /dev/sda: 437.9 GB, 437998583808 bytes
255 heads, 63 sectors/track, 53250 cylinders
Units = cylinders of 16065 * 512 = 8225280 bytes
Device Boot Start End Blocks Id System
/dev/sda1 * 1 319 2562336 83 Linux
/dev/sda2 320 10581 82429515 83 Linux
/dev/sda3 10582 12684 16892347+ 82 Linux swap / Solaris
/dev/sda4 12685 53250 325846395 5 Extended
/dev/sda5 12685 13901 9775521 83 Linux
/dev/sda6 13902 53250 316070811 8e Linux LVM
Your root partition is not part of an LVM so you can't directly attach your volume named "lvm".
It's possible to migrate your information from a standard root partition to a logical volume. You'll just need a large enough logical volume (77 GBs >)
Keep in mind that downtime is required as you cannot perform it while / is mounted.