A hot dog can be considered to be a 12-cm-long

A hot dog can be considered to be a 12-cm-long cylinder whose diameter is 2 cm and whose properties are ρ = 980 kg/m3, cp= 3.9 kJ/kg·K, k = 0.76 W/m·K, and α = 2 × 10-7m2/s. A hot dog initially at 5°C is dropped into boiling water at 100°C. The heat transfer coefficient at the surface of the hot dog is estimated to be 600 W/m2·K. If the hot dog is considered cooked when its center temperature reaches 80°C, determine how long it will take to cook it in the boiling water.

Hot dog Water, 100°C