There’s a command called “contour” in Rhino; I’m guessing it’s what you’re looking for.
Once you get the 3D slices made, I’m guessing working with them in Fusion 360 will be easier, so you might not want to use this anyway. But, if you want to stay in Rhino I made a little video showing how you can slice a 3D object…
(WOW, bravo to YouTube’s automatically-selected thumbnail!)
I watched the video @tom posted above, that looks like a MUCH easier way to get to the end result asked for in the OP. But, if you’re already comfortable in Rhino, it’s nice to see you have an option with it as well.