91Ó°ÊÓ

Here,

As in the question hint is given to estimate the diameter of the drop of water. Once you suppose the diameter of water to be a number we can find out radius by dividing it with two.

Water droplets are always considered in form of a sphere hence the diameter of sphere will be getting.

Using the radius of the sphere we can find out the volume of water present in one drop of water.

D= diameter of water droplet (in)

R= radius of water droplet (in)

V= Volume of water droplet (in³)

Volume of sphere can be obtained by multiplying the radius cube to the value of pie and 4/3

Let suppose the diameter ofwater droplet be 0.16 inch.Hence the radius of the drop will be R = 0.08 inch

Volum of water droplet =\(V = \,\frac{4}{3}\pi {R^3}\)

=\(\frac{4}{3}\pi {(0.08)^3}\)[

= 0.0021 in³

The volume of one droplet is 0.0021 in³

Again, we need to do conversion here in this case. The number of drops in one liter of bottle can be calculated as below:

=\(\frac{{1\,drop}}{{0.0021\,inc{h^3}}} \times {(\frac{{1\,in}}{{2.54\,cm}})^3} \times (\frac{{1000\,c{m^3}}}{{1\,L}})\)[1]

=29058.925 droplets / L

Therefor after the experiment calculation we got around29058.925 drops of water in the bottle per liter.