Concept of Hidrostatic Pressure in Random Shaped Vessel

[Vermilion X]

Homework Statement

[Translate to English]
Look at the following picture, the true statement is?

Relevant Equations

Hidrostatic Pressure - P = rho . g . h

Hello Everyone!
this question is using Indonesian language, i have translated the question at "Homework Statement". The container is filled by water (in Indonesian, "Air" means "Water")

i know the the pressure at point X, Y and Z depends on their corresponding depth. my best answer is :

Pz > Px > Py

But the answer is not available in the question, I'm wondering the shape which point Y and Z have something to do with the answer. I'm hoping you guys give me the basic concept of Hidrostatic Pressure regarding of this question. Thank you!

 

[BvU]

Hello @Vermilion X ,

!​

Your best answer is my best answer. I expect there is a mistake in the book answers.

$\$

 

[Steve4Physics]

Relevant Equations:: Hidrostatic Pressure - P = rho . g . h
i know the the pressure at point X, Y and Z depends on their corresponding depth. my best answer is :

Pz > Px > Py

But the answer is not available in the question, I'm wondering the shape which point Y and Z have something to do with the answer. I'm hoping you guys give me the basic concept of Hidrostatic Pressure regarding of this question. Thank you!View attachment 277429

Total pressure at each point is $P_{atmospheric} + \rho g h$
The shape of the container does not affect this.

So your answer is correct. $P_z>P_x>P_y$. This is not in the list of answers.

However, the diagram may be badly drawn - perhaps x and y are meant to be at the same height. That would give answer ‘a’.