Answer: 1.06 kg
Explanation:
Density is defined as the mass contained per unit volume.
[tex]Density=\frac{mass}{Volume}[/tex]
Given :
Density of mercury = [tex]13.5g/cm^3[/tex]
volume of cylinder = volume of mercury = [tex]\pir^2h[/tex]
where r = radius of cylinder = [tex]\frac{diameter}{2}=\frac{2cm}{2}=1cm[/tex]
h= height = 25.0 cm
Putting in the values we get:
volume of mercury =[tex]3.14\times 1^2\times 25=78.5cm^3[/tex]
[tex]mass=density\times volume=13.5g/cm^3\times 78.5cm^3=1059.75g=1.06kg[/tex] (1kg=1000g)
Thus mass of mercury required to fill a hollow cylinder having an inner diameter of 2.00 cm to a height of 25.0 cm is 1.06 kg.
