The pressure at the bottom of a cylindrical container with a cross-sectional are

Question

The pressure at the bottom of a cylindrical container with a cross-sectional area of 54.0 cm2 and holding a fluld of density 460 kg/m is 115 kPa (a) Determine the depth of the fluid. How is the pressure on the bottom of the container related to atmospheric pressure and the pressure due to the depth of the Suld? Can you express the pressure dus to some depth of the fuld in terms of the depth and density of the fluld?m (b) Determine the pressure at the bottom of the container if an additional 2.40 10m2 of this fluid is added to the container. (Give your answer to at least 3 significant figures.) Eenter s nunbati termine the additional depth of the fluid from the volume of the fluid and the cross sectional area of the cylindrical container? kPa Materials

Explanation / Answer

(A) P = Patm + rho g h

115 x 10^3 = 101.3 x 10^3 + (460 x 9.8 x h)

460 x 9.8 x h = 13.7 x 10^3

h = 3.04 m

(b) now h' = V / A = (2.40 x 10^-3 m^3 ) / (54 x 10^-4 m^2)

h' = 0.44 m

P = 115 x 10^3 + (460 x9.8 x 0.44)

P = 117 x 10^3 Pa Or 117 kPa

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