You should not pot them in any container that does not have drainage holes!
The reason the roots rise up out of the media is because they need oxygen to survive. Yours is a Phalaenopsis and that is just what they do.
Please take the time to read "starting out with supermarket orchids/Phalaenopsis" the thread or sticky within our orchid forums. They contain an infinite amount of information that will prove invaluable as you try your hand with orchids.
Basically yours needs to be in a bright location, no direct sun. The pot should only be as large as needed. Yours appears to be a bit too big. You water it well and let it approach dryness before you water again. YOURS is too dry!!!
The pieces within your "mulch" or media are too big. You need pieces that range in size from 3/8" to a 1/2". Those pieces are like big chunks! This causes watering difficulties, especially for beginners! They often end up watering too much or too little.
Welcome to the NGA and PLEASE read those forums about Phalaenopsis care.
