Penguin huddling -Heat transfer mechanisms -Radiation problem

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AI Thread Summary
Huddling in groups allows emperor penguins to significantly reduce heat loss through radiation. A calculation based on the penguins' dimensions indicates that huddling can reduce total radiation loss by approximately 85% compared to 1000 individual penguins radiating heat alone. The discussion seeks verification of this percentage rather than a complete solution. Participants are encouraged to confirm the accuracy of this calculation. The effectiveness of huddling as a heat retention strategy is highlighted in the context of the harsh Antarctic environment.
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Homework Statement



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 of 0.34m2 and a height of 1.1m. If penguins huddled closely to form a huddled culinder with a top surface area of Na and height h by what percentage does huddling reduce the total radiation loss compared to if 1000 separate identical penguins radiated heat alone.


The Attempt at a Solution



I ended up with the solution of 85%. Can anyone verify this? I just want to see if my solution is right. I'm not looking for anyone to post the full solution just verification. Thanks guys
 
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