If you don't know the rules of "teapot riddles", see my first teapot riddle.
Make sure that the word for the first teapot is the same as for the second teapot.
First clue:
My first teapot is solid.
My second teapot is not touchable.
Second clue:
My first teapot represents the hopes of everybody.
My second teapot represents your own hopes.
Third clue:
My first teapot gets chosen by the captain.
My second teapot gets chosen by yourself.
Final clue (makes the riddle very easy):
The round one needs to go in the angular one.
Chase your second teapot until you reach it.