A hot dog can be considered to be a cylinder 5 in long and 0.8 in in diameter whose properties are ρ = 61.2 lbm/ft³, c_p = 0.93 Btu/lbm·8F, k = 0.44 Btu/h·ft·8F, and α = 0.0077 ft²/h. A hot dog initially at 408F is dropped into boiling water at 2128F. If the heat transfer coefficient at the surface of the hot dog is estimated to be 120 Btu/h·ft²·8F, determine the center temperature of the hot dog after 5, 10, and 15 min by treating the hot dog as

(a) A finite cylinder

(b) An infinitely long cylinder.