Home assignment 4 algorithmo Once upon a time, at overseas university, one evening, a lab technician had completed preparation to a certain lab experiment in which the heat should be transferred from the base according to the schematic shown below: h, To k -A = (p = TD, A, = 7D2/4 for a cylindrical fin) Technical data: length of the rod L = 200mm, k = 168 W.m K+ (aluminum alloy), D = 10mm, To = 100C, T... = 20C, h = 15 W.mk-, the fin tip is adiabatic (thermo-insulated). But alas! When next morning the technician came to the lab room, he found that 100 mm of the aluminum alloy were cut off by an unidentified (as usually) criminal. (What was the motive of this crazy burglar?) K 100mm remains 100mm of aluminum rod were stolen T h, Tai -A,=A Our technician became worry, because soon the course instructor should come to the lab (you know these professors: cruel, ruthless, and scandalous persons...). What to do? Our technician possesses the rod of the same diameter but from another material, plain carbon steel with lower thermal conductivity (ka = 60.5 W-m K). Besides, the technician also has the "A Double Action Super Glue" with help of which he might connect two rods to each other without traces of the additional thermal resistance. Finally, the question is: what should be the length of the steel rod our technician has to cut (and connect to the aluminum rod) to provide the same (original) rate of the heat from the base