The engine of my go-cart has circular fins, 3 mm thick that are machined into the aluminium of the cylinder (k=240 W/m*K) such that the outer diameter of the cylinder itself (not including the fins) is 10 cm and the fins stick out from the cylinder by 5 cm. The temperature of the cylinder cannot exceed 265 C. I typically run my go-cart on a 27 C day under conditions where the h=80 W/m^2*K.
a) Estimate the amount of heat transferred by a single fin.