Six identical charges in hexagonal setup problem

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The discussion revolves around a homework problem involving six identical charges arranged in a hexagonal setup. The user has attached images of their work but acknowledges a mistake in part (b) and seeks assistance in identifying it. There is confusion regarding how to account for all six charges in the calculations for part (b). Participants are encouraged to provide guidance on correcting the error and clarifying the orientation of the setup. The focus remains on resolving the issues related to the hexagonal charge configuration.
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Homework Statement


Attached the original script. Sorry but I don't know how to type in latex so its easier to attach photos.
Screen Shot 2017-02-12 at 16.45.54.png


Homework Equations


ET6n=1En

The Attempt at a Solution


I attached what I was able to do, I know there is a mistake is in part (b) that I can't locate and any help or guidance would be appreciated .
IMG_3254.JPG
 
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The orientation of the image looks wrong.

How do you take into account that there are 6 charges in (b)?
 
The book claims the answer is that all the magnitudes are the same because "the gravitational force on the penguin is the same". I'm having trouble understanding this. I thought the buoyant force was equal to the weight of the fluid displaced. Weight depends on mass which depends on density. Therefore, due to the differing densities the buoyant force will be different in each case? Is this incorrect?

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