Slice about 1/2 inch off one side of the Styrofoam ball so the flat side can sit on the jar lid. Glue the ball to the jar lid.
Cut a small piece of orange felt and shape it for the snowman's nose. Attach it to the snowman's face with craft glue.
Glue two small black bead eyes to the snowman's face. Glue five or six black beads in the shape of a smile for the snowman's mouth.
Poke a twig arm into each side of the Styrofoam ball.
Tie the piece of fabric into a scarf around the top of the jar and secure it with a few drops of glue. Put the scarf so the jar can still be opened.
Attach some buttons to the front of the jar with glue, or cut some buttons from felt and attach them with glue.
Glue the craft store hat on top of the snowman's head and screw the lid onto the jar. Glue a miniature broom to one twig and a miniature shovel to the other twig.