A small dog has thick fur with thermal conductivity 0.040 W/(m · K). The dog’s metabolism produces heat at a rate of 40 W, and its internal (body) temperature is 38^oC. 

(a) If all this heat flows out through the dog’s fur, what is the outside temperature? Assume the dog has a surface area of 0.50 m² and the length of the dog’s hair is 1.0 cm. 

(b) Now assume it is a hot summer day with an outdoor temperature of 32^oC (about 90^oF). What is the body temperature of the dog now? Your answer will explain why a dog can quickly overheat on a warm day.