Question 1 A liquid of unknown density is poured into a hemispherical vessel of

Question

Question 1

A liquid of unknown density is poured into a hemispherical vessel of radius 15 cm to fill it completely. The vessel was weighed before and after the liquid was poured into it, and the difference was 6.36 kg. Find the density of the liquid.

Question 2

Find the gauge pressure at the bottom of a dam that is 30 m deep. What is the total pressure, in

atmospheres, at the bottom?

Question 3

A diver carries a pressure-measuring device that reads the gauge pressure. If the pressure reading is 2.6

Explanation / Answer

1. Wt of the liquid = 6.36 kg

     V = 2/3 pi r^3 = 2/3*pi*0.15^3 = 0.007 m^3

    Density = mass/V = 6.36/0.007 = 908.57 kg/m^3

2. Gauge pressure = h*rho*g = 30*1000*9.8 = 294000 Pa

      Total pressure at the bottom = 294000 + 10^5 =304000 Pa

3. P = h*rho*g

   260000 = h*1000*9.8

   h = 26.53 m

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