I need to make 7 cakes that are 6 x 1 inch. How much batter do I use to make a 6 x 1 ? 

Are you making a multi coloured layer cake?  I'm not sure I'm understanding what you're asking, sorry!  :)

Is your cake going to be 7 layers tall but 6 inches in diameter?

Yes multicolored

7 different colors, each a different color.

My pans are 6 x 2

i need each cake to only be 1 inch after baking.