Answer:
The aswer is Re= 1867.123
Explanation:
You know that Reynolds is:

But the units of p, v, D and u must be in the same reference system. This means that you must handle the same units. So, you must do the corresponding unit conversions
. Usually The International System of Units is used, where:
the density p is measured in
the velocity v in
, the diameter in m (meters) and the viscosity in 
But you can choice other system of units.
The <em>density</em>, in this case, is expressed in
(
Note that in the statement the data appears as kg / m. But remember that this isn't possible because density is the amount of mass in a given volume. You can assume that the given data is
).
For density then you shouldn't convert units, because it respects the International System of Units.
The <em>velocity </em>is expressed in
. So, you must change these units to
. For that, The Rule of Three is usually used, where it is known that 1 cm is 0.01 cm. So:
1 cm ⇒ 0.01 m
32.9 cm ⇒ x

Finally the velocity is: 0.329 
In the same way, you can convert the units of the <em>diameter</em>.
1 cm ⇒ 0.01 m
1.85 cm ⇒ x

The diameter is: 0.0185 m
Finally, you must convert the <em>viscosity</em> units, applying The Rule of Three:
1 cP ⇒ 0.001 
3.40 cP ⇒ x

So, the viscosity is: 0.0034 
Now, with all units in the same system, you can <em>calculate the Reynolds </em>number.You just have to replace the numbers in the definition and verify that the Reynolds is a dimensionless number.

Re= 1867.123
<em>Unit Verification:</em>

By simple simplification, adimensionality can be observed.