What Is the Depth and Pressure of Fluid in a Cylindrical Container?

AI Thread Summary
The discussion focuses on calculating the depth of fluid in a cylindrical container and the pressure at the bottom after adding more fluid. Given the container's cross-sectional area of 65.2 cm² and fluid density of 806 kg/m³, the initial pressure at the bottom is 116 kPa. Using the hydrostatic pressure formula, the depth of the fluid is calculated to be approximately 14.67 meters. Additionally, the impact of adding 2.05 x 10^-3 m³ of fluid on the bottom pressure is also a key point of discussion. The calculations emphasize the relationship between fluid depth, density, and pressure in a closed system.
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Homework Statement



A cylindrical container with a cross sectional area of 65.2 cm^{2} holds a fluid of density 806kg/m^{3}. At the bottom of the container the pressure is 116 kPa
a) What is the depth of the fluid?
b) Find the pressure at the bottom of the container after an additional 2.05 \times 10^{-3} m^{3} of this fluid is added to the container. Assume no fluid spills out of the container.


Homework Equations





The Attempt at a Solution



a) A = 65.2 cm^{2}
\rho = 806 kg/m^{3}
P(bottom) = 116 kPa = 1.16 \times 10^{5} Pa

closed manometer \rightarrow P = \rhogh

h = \frac{P}{\rhog} = \frac{1.16 \times 10^{5}}{806 \times 9.81}
= 14.67 m
 
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sorry i didn't mean to finish it yet there is a later post with more in it
 
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