Answer:
263.152kg
Explanation:
<em>The density of a substance is related to its mass and volume as follows;</em>
density = mass / volume
mass = density x volume -------------(i)
The substance in question here is <em>mercury </em>which has;
density = 13.56g/mL = 13.56g/cm³
Since the mercury is going to be put in the cylindrical glass, the volume of the cylindrical glass is going to be equal to the volume of the mercury that will be put.
And we know that the;
volume of a cylinder = πr²h
<em>Where;</em>
π = 3.142
r = bottom radius of the cylinder = 5.75inches
h = height of the cylinder = 0.950ft
<em>For uniformity, let's convert the radius and height of the cylinder to their corresponding values in cm</em>
r = 5.75 inches = 5.75 x 2.54 cm = 14.605cm
h = 0.950 ft = 0.950 x 30.48 cm = 28.956cm
<em>Therefore, the volume of the cylinder;</em>
v = 3.142 x (14.605cm)² x 28.956cm = 19406.5cm³
v = 19406.5cm³ [This is also the volume of the mercury necessary to fit the cylinder]
<em>Now the following value has been found;</em>
volume = 19406.5cm³
<em>Substitute the values of density and volume into equation (i) as follows;</em>
mass = 19406.5cm³ x 13.56g/cm³
mass = 263152.14g
<em>Convert the result to kg by dividing by 1000</em>
mass = 263.152kg
Therefore, 263.152kg kilograms of mercury would fit in the cylindrical glass.
