You'll simplify your life by making effective use of single quotes as well as double quotes:
mountPoint="`df -h | grep $pth | tr -s ' ' | cut -d' ' -f6`"
The first step in debugging this is to remove the cut command and see what it produces:
mountPoint="`df -h | grep $pth | tr -s ' '`"
echo $mountPoint
Does it still print 6 (or more) columns?
Note that if you misspell the argument to the command, then the grep will pass nothing through to the cut.
On my machine (a Mac), I get the output from df -h:
Filesystem Size Used Avail Capacity Mounted on
/dev/disk0s2 465Gi 189Gi 277Gi 41% /
devfs 111Ki 111Ki 0Bi 100% /dev
map -hosts 0Bi 0Bi 0Bi 100% /net
map auto_home 0Bi 0Bi 0Bi 100% /home
/dev/disk1s1 1.8Gi 8.8Mi 1.8Gi 1% /Volumes/BLACKBERRY
Note that some of the file system names have spaces in them. It is unlikely to be a factor in your problem, but it could throw things off (the mount point is then field 7).