Make a hole in the bottom of the second Styrofoam cup.
Apply glue to the inside lip of the cup and place the end of one of the stretched strips on top. You may need to let the hot glue cool for a few seconds to prevent the strip from melting, esp. if you are using a high temp. gun.
Repeat the process, gluing strips around the lip of the cup. Leave a 1/8" to 1/4" gap between strips.