Helicoid is developable surface

Question

Please help me to prove that helicoid whose parametric equation is given by $$x=u\cos v, y= u\sin v, z=pu$$ is developable, where $p$ is a constant and $u,v$ are the curvelinear coordinates of the surface.
Thank you.

Answer 1

I'm afraid I cannot do that, as it is false.

According to this, the helicoid is ruled, but non-developable.

Here you can find a formula for the non-zero Gaussian curvature.