A cylindrical can with a bottom area S1 = 1.2dm² and a height of h = 20cm is half filled with gasoline.

A cylindrical can with a bottom area S1 = 1.2dm² and a height of h = 20cm is half filled with gasoline. The mass of gasoline in a can is m = 0.85kg. Determine the density of gasoline?

S = 1.2 dm2 = 0.012 m2 – bottom area of a cylindrical can;

h = 20 centimeters = 0.2 meters – the height of the cylindrical can;

m = 0.85 kilograms – the mass of gasoline.

It is required to determine ro (kg / m3) – the density of gasoline.

Let’s find the total volume of a cylindrical can:

V = S * h = 0.012 * 0.2 = 0.0024 cubic meters.

According to the condition of the problem, the bank is half full, that is, the volume occupied by gasoline will be equal to:

V1 = V / 2 = 0.0024 / 2 = 0.0012 cubic meters.

Then the density of gasoline will be equal to:

ro = m / V1 = 0.85 / 0.0012 = 708.3 kg / m3.

Answer: the density of gasoline is 708.3 kg / m3.