What is the elephant's nose called?

Once upon a time when my daughter was a baby in my arms, my husband and I took her to the Childrens’ zoo in Oakland CA. There was a small elephant in a not very large pen. My husband told me to back up close to the elephant and he would take our picture with it. I had the diaper bag over my shoulder. As I backed up, the elephant wrapped its trunk around the strap of the bag and pulled me toward it. The bag was looped around the arm with which I was holding the baby and I panicked. My husband burst out laughing, then hastened forward to take the baby. The photo never got taken. The poor elephant was longing for company!

Spooky, it uses its trunk to carry water to its mouth

How does an elephant drink water? Does it use it's trunk in some way?