Consider a hot dog to have the following dimensions and properties: diameter = 20 mm, c_p = 3.35 kJ/kg · K, ρ = -880 kg/ m³, and k = 0.5 W/m · K. For the hot dog initially at 5°C, exposed to boiling water at 100°C, with a surface coefficient of 90W/m² · K, what will be the cooking time if the required condition is for the center temperature to reach 80°C?