Calculating Oil Flow Speed: Density 850 kgm^3, Pipe Diameter 8 cm

[ssb]

Homework Statement

oil w/ density of 850 kgm^3 goes through a pipe diameter 8 cm at a rate of 9.5 liters / s.
what is the speed of the oil?

Homework Equations

v_1 = (dv/dt)/a_1 = (9.5*10^-3)/(pi(.04)^2) = 1.9 m/s

The Attempt at a Solution

i have the solution because this problem was given to me. I just don't understand where the 10^-3 came from and how it was derived.

 

[hage567]

I just don't understand where the 10^-3 came from

It comes from converting the volume from litres into m^3.