Answer:
Mass, m = 0.00284 kg
Explanation:
Given that,
Density of mercury, [tex]d=13.5939\ g/cm^3[/tex]
Height of mercury column, h = 1.1 m
Diameter of mercury, d = 0.492 meters
Radius of mercury column, r = 0.246 m
We need to find the mass of a drum. The density is given by :
[tex]d=\dfrac{m}{V}[/tex]
V is the volume of mercury column
[tex]d=\dfrac{m}{\pi r^2h}[/tex]
[tex]m=d\times \pi r^2h[/tex]
[tex]m=13.5939\times 3.14\times (0.246)^2\times 1.1[/tex]
m = 2.84 grams
or
m = 0.00284 kg
So, the mass of a drum full of mercury is 0.00284 kg. Hence, this is the required solution.
