Funny Wire

Metal wire A is \(100\text{ cm} \) long and has a diameter of \(2 \text{ mm}\). Its resistance from end to end is \(3.00\ \Omega\).

Metal wire B is also \(100\text{ cm} \) long, but its diameter increases linearly from \(1 \text{ mm}\) at one end to \(3 \text{ mm}\) at the other end.

If the wires are made of the same material, what is the resistance of wire B (in \(\Omega\))?

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