If you are following the instructions from the link/blog. You don't have to shutdown the instance to detach the EBS volume. You only need to shutdown your EC2 instance if your EC2 volume is the root
volume. i.e /dev/sda1 /dev/sda /dev/xvda
Having said that, you do need to shutdown your mysql service on instance A before detaching the volume:
service mysqld stop
Then you can bring up another instance B and then attach the EBS volume where your data is and then mount it. (Assuming you are attaching to /dev/sdh or /dev/xvdh)
echo "/dev/sdh /vol xfs noatime 0 0" | sudo tee -a /etc/fstab
sudo mkdir -m 000 /vol
sudo mount /vol