Physics Question from JEE Main 2023 · 24 January, Shift 1

A hollow cylindrical conductor has a length of $3.14 \, \text{m}$, while its inner and outer diameters are $4 \, \text{mm}$ and $8 \, \text{mm}$, respectively. The resistance of the conductor is $n \times 10^{-3} \, \Omega$. If the resistivity of the material is $2.4 \times 10^{-8} \, \Omega \, \text{m}$, the value of $n$ is _____ .