Cylinder following a Spiral nurb path

So I'm trying to get a cylinder along a spiral nurb path.
But in the proces it deforms it and it isn't following the path at all.
What am I doing wrong?

Spiral nurbspath.blend

I've also tried it with the screw modifier, but I can't get the spiral transformed to a path..

So I'm trying to get a cylinder along a spiral nurb path.
But in the proces it deforms it and it isn't following the path at all.
What am I doing wrong?

Spiral nurbspath.blend

I've also tried it with the screw modifier, but I can't get the spiral transformed to a path..

Object and spiral must have an origin at the same coordinates. I've modified your blend file for the right result.
Spiral_nurbspath.blend