Question

) The volume of mercury thread in a capillary tube is 1cm 3 . if the length of the mercury thread is 1m, calculate the radius of the capillary tube.

Answer 1

0.56cm

Explanation:

a capillary tube has a cylindrical shape. So we need the formula for the volume of a cylinder:

`V=\pi r^2l`

where
`\pi` is a constant,
`\pi=3.1416`

`r` is the radius of the cylinder (the capillary), and
`l` 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:

`(V)/(\pi l) =r^2\\\\\sqrt{(V)/(\pi l) } =r`

The information that we already know is:

`V=1cm^3`

`l=1cm`

so we substitue this values:

`\sqrt{(1cm^3)/((3.1416)(1cm)) } =r\\0.56cm=r`

the radius of the capillary tube is 0.56cm