Answer:
0.56cm
Step-by-step explanation:
a capillary tube has a cylindrical shape. So we need the formula for the volume of a cylinder:
[tex]V=\pi r^2l[/tex]
where [tex]\pi[/tex] is a constant, [tex]\pi=3.1416[/tex]
[tex]r[/tex] is the radius of the cylinder (the capillary), and [tex]l[/tex] is the length (in this case the length of the mercury thread )
since we need the radius, we solve for it in the last equation:
[tex]\frac{V}{\pi l} =r^2\\\\\sqrt{\frac{V}{\pi l} } =r[/tex]
The information that we already know is:
[tex]V=1cm^3[/tex]
[tex]l=1cm[/tex]
so we substitue this values:
[tex]\sqrt{\frac{1cm^3}{(3.1416)(1cm)} } =r\\0.56cm=r[/tex]
the radius of the capillary tube is 0.56cm
