Manometer finding absolute pressure at P1

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The discussion focuses on solving a problem related to finding absolute pressure using a manometer. The user converted densities to kg/m^3 and applied the formula P = Patm + dgh to calculate pressure, arriving at a result of 99.204 kPa. Feedback indicates that the arithmetic appears correct, but the final answer should be expressed in mm Hg rather than kPa. The importance of unit conversion is emphasized for clarity in the final answer. Overall, the approach to the problem is validated, pending the correct unit presentation.
TJSq

Homework Statement


nxWvK
https://imgur.com/a/nxWvK this is the problem

Homework Equations


P=Patm + dgh

The Attempt at a Solution


I really just need to check if i did this right. I converted the densities to kg/m^3 and did p1= ((1121.689)(9.8)(.15) + ((1019.717)(9.8)(.04)) which gives 2048.61 Pa + 729mmHg which is 97.192 kPa so the answer would be 99.204 kPa
 
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If you did the arithmetic correctly, your approach looks OK. But, I think they want the answer in mm Hg.
 
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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