OK then. First we need to delete the ext4 partition you've created and create an LVM partition instead. This will delete all of the data that's currently on your new drive.
If you now do 'sudo fdisk -l /dev/sda' you should see that your new drive has 1 LVM partition taking up the entire drive.
sudo fdisk /dev/sda
Next we create a new PV (physical volume) from the partition and add it to your existing VG (volume group).
We can now extend your root LV (logical volume) to take up all of the newly available space in your VG.
sudo pvcreate /dev/sda1
sudo vgextend ALSHARQI /dev/sda1
Finally we grow the root filesystem to use all of the available space on the underlying root VG.
sudo lvextend -l +100%FREE /dev/ALSHARQI/root
All done. You can check the size of your new root partition using..
sudo resize2fs /dev/ALSHARQI/root