Not drop in if those are each 7.4v.:)
I have the 5000, 5600, and the 6000, all 3.7v and have the same size hard shell. 3 5/8" x 1 13/16" x 3/4".
So a 1/4" longer for the 510 and 3/8" thicker for the DNA. Size feels good in the hand and easy for beginner modders. And me...:D