SOLUTION: A spherical drop of oil with diameter 3 mm falls on water surface and produces a circular oil film of radius 10 cm. Calculate the thickness of oil film.

Algebra ->  Numeric Fractions Calculators, Lesson and Practice -> SOLUTION: A spherical drop of oil with diameter 3 mm falls on water surface and produces a circular oil film of radius 10 cm. Calculate the thickness of oil film.      Log On


   

Question 1090131: A spherical drop of oil with diameter 3 mm falls on water surface and produces a circular oil film of radius 10 cm. Calculate the thickness of oil film.
Found 2 solutions by Fombitz, ikleyn:
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
The drop of oil has a volume of
V%5Bd%5D=%284%2F3%29pi%2810%5E3%29
The radius of the oil film needs to be convert to mm for consistency.
10cm=100mm
The cylindrical film has a volume of,
V%5Bcf%5D=pi%2A%28100%29%5E2%2Ah
Set the two equal to each other,
V%5Bd%5D=V%5Bcf%5D
%284%2F3%29pi%2810%5E3%29=pi%2A%28100%29%5E2%2Ah
h=%284%2F3%29%28%2810%5E3%29%2F%28100%5E2%29%29
Work that out for the height in mm.

Answer by ikleyn(52790) About Me  (Show Source):
You can put this solution on YOUR website!
.
A spherical drop of oil with diameter 3 mm falls on water surface and produces a circular oil film of radius 10 cm.
Calculate the thickness of oil film.
~~~~~~~~~~~~~~~~~~~~~~~ 

The drop of oil has a volume of  V%5Bd%5D=%284%2F3%29pi%281.5%5E3%29 cubic millimeters.


The radius of the oil film needs to be convert to mm for consistency. 10 cm = 100 mm


The cylindrical film has a volume of  V%5Bcf%5D=pi%2A%28100%29%5E2%2Ah cubic millimeters.


Set the two equal to each other,

V%5Bd%5D=V%5Bcf%5D

%284%2F3%29pi%281.5%5E3%29=pi%2A%28100%29%5E2%2Ah

h=%284%2F3%29%28%281.5%5E3%29%2F%28100%5E2%29%29 millimeters.


Work that out for the height in mm.