I'm staying in the shed. Right, taking volute to mean the bit that starts to curve towards the headstock, I measured as close to the nut as I could where the neck was still straight.
It's 13.5mm there but drops to 12.5mm thereafter. Until the 7th fret(ish) where it deepens to 14mm, rising to 15mm as we approach the heel. Oh and its 5mm wide
Not quite the perfect angle but you can see within a mm how shallow it is.