1 Problem 1 (20 Pts) A cylinder of radius r, length L, thermal conductivity k, heat capacity c, and initial temperature Ti is dropped into a bucket of ice cold water at temperature 0 K. Assuming the heat transfer coefficient of water is h and that Biot number Bi < 0.1, 1. (10 Pts) At what time thalf does the temperature of the cylinder reduce to half T/2? 2. (10 Pts) Calculate the amount of heat lost by cylinder till thalf.