Calculating Water Volume in a Tank Using Pressure Measurements

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The discussion revolves around calculating the volume of water in a partially filled cubic aquarium, given that the pressure at the bottom is three times greater than the pressure on one side. Participants clarify that pressure varies with depth, and they discuss how to derive the average pressure and force on the sides and bottom of the tank. The integration of pressure forces is emphasized, with guidance on how to set up the integral to find the total force on the tank's side. The conversation highlights the need to express the results in symbolic form, focusing on the relationship between water depth and pressure. Ultimately, the goal is to determine the actual volume of water in the tank based on the given pressure conditions.
  • #61
Regla said:
I made a mistake, L is 40cm, 64dm3 is not 640cm3 it's 64000cm3. It's because we're dealing with volume not length.
 
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  • #62
Don't worry . Just be more rigorous with you methods when doing future problems .

All done .
 
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