Question

1. A cylindrical piece of wood of mass 140.0 grams has a length of 10.0 cm and floats upright in a beaker filled with fresh water, as shown below. The water line lies 1.5 cm below the top of the cylinder.

    
a) What is the density of the wood cylinder?  
The cylinder is then removed from the beaker of water and placed in a beaker of gasoline. The cylinder sinks in the gasoline. The cylinder has an apparent mass in gasoline of 28.8 grams.   
b) Calculate the mass of gasoline displaced by the cylinder.   
c) Calculate the volume of gasoline displaced by the cylinder.  
d) Calculate the density of gasoline.

Answer 1

The height of cylinder which is under water is=10-1.5=8.5cm

In equilibrium,

Mass of the cylinder=Mass of water displaced by the cylinder

r=2.29cm

(a) density of wood,

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(b)Apparent mass=actual mass- mass of the displaced gasoline

-------Which is mass of the displaced gasoline

(c) Volume of displaced gasoline=volume of the cylinder=140/0.85=164.7cc

(d)

------Density of the gasoline