The influenza A virus is a spherical virus

[lalahelp]

1. Homework Statement [/b]
A typical virus is a packet of protein and DNA (or RNA) and can be spherical in shape. The influenza A virus is a spherical virus that has a diameter of 85 nm. If the volume of saliva coughed onto you by your friend with the flu is 0.044 cm3 and 10−9 of that volume consists of viral particles, how many influenza viruses have just landed on you?

Homework Equations

4/3*Pi*r^3

The Attempt at a Solution

V=4/3(pi)(42.5^3)

Could some one show me how to convert the .044 cm3 to nm3
I know that .044 cm3 equals 4.4e^-8 m^3
so what do I then after?

 

[HallsofIvy]

According to Wikipedia, a "nanometer", 1 nm, is 1 billionth, or 10^{-9} m. A cubic nanometer, then, is (10^{-9})^3= 10^{-27} cubic meter.

A cubic cm is, of course, (10^{-2})^3= 10^{-6} cubic meter.

 

[lalahelp]

So .044 cm3 is equal to 4.4e^-21?