Consider a $2-$cm$-$diameter cylindrical rod made of a sample material whose density and specific heat are $3700k\frac{g}{m^3}$ and $920\frac{J}{k}g*K,$ respectively. The sample is initially at a uniform temperature of $25C.$ In order to measure the temperatures of the sample at its surface and its center, a thermocouple is inserted to the center of the sample along the centerline, and another thermocouple is welded into a small hole drilled on the surface. The sample is dropped into boiling water at $100C.$ After $3$min, the surface and the center temperatures are recorded to be $93C$ and $75C,$ respectively. Determine the thermal diffusivity and the thermal conductivity of the material.