Extending a LVM partition in a Hyper-V guest VM running CentOS

Imagine a scenario like the following: you have a Hyper-V host and a CentOS 6.3 guest. The CentOS guest has Microsoft Integration Services for Linux 3.3 installed and running. A data file system on the guest is running out of the free space:

[root@myhost ~]# df -h /data/svn/

Filesystem            Size  Used Avail Use% Mounted on

/dev/mapper/data-svn   99G   93G  964M  99% /data/svn

Although the partition is a part of LVM, but your entire disk is almost full. In the article I'd like to show how you can get rid of this without getting your services offline.