How long is a metal wire with a diameter of 1 mm if the current in it is 1.57 A with a voltage

How long is a metal wire with a diameter of 1 mm if the current in it is 1.57 A with a voltage at the ends of the wire of 3 V?

According to Ohm’s Law:
R = U / I, where R is the resistance of the metal wire (Ohm), I is the current strength (I = 1.57A), U is the voltage (U = 3 V).
R = U / I = 3 / 1.57 = 1.91 Ohm.
R = ρ * l / S, ρ is the resistivity of the metal from which the wire is made (Ohm * mm² / m), l is the length of the wire (m), S is the cross-sectional area of the wire (S = 0.25ΠD², where D is the diameter wires (D = 1 mm)).
ρ = R * S / ρ = R * 0.25ΠD² / ρ = 1.91 * 0.25 * 3.14 * 1² / ρ = 1.5 / ρ.
Answer: The metal wire has a length of 1.5 / ρ.