A copper rod, \(15 \mathrm{~mm}\) in diameter, is attached to a wall that is at a temperature of \(200^{\circ} \mathrm{C}\). The opposite end of the rod is insulated. The rod is \(100 \mathrm{~mm}\) long and is immersed in air at a temperature of \(25^{\circ} \mathrm{C}\). The heat transfer coefficient for the air is \(h=10 \mathrm{~W} / \mathrm{m}^{2} \mathrm{~K}\) and the thermal conductivity of the rod is \(393 \mathrm{~W} / \mathrm{m} \mathrm{K}\).

a. How much heat is dissipated by the fin?

b. What is the fin efficiency?

c. How does the heat dissipated by this fin compare to that which would be dissipated by an infinite fin of the same diameter?