Penguins huddling: To withstand the harsh weather of the Antarctic, emperor penguins huddle in groups. Assume that a penguin is a circular cylinder with a top surface area a =0.26 m2 and height h = 90 cm. Let Pr be the rate at which an individual penguin radiates energy to the environment (through the top and the sides); thus NPr is the rate at which N identical, well-separated penguins radiate. If the penguins huddle closely to form a huddled cylinder with top surface area Na and height h, the cylinder radiates at the rate Ph. If N = 1000, by what percentage does huddling reduce the total radiation loss?