The influenza A virus is a spherical virus

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The influenza A virus is a spherical virus with a diameter of 85 nm, and the discussion revolves around calculating the number of viral particles in a specific volume of saliva. The volume of saliva mentioned is 0.044 cm³, with 10⁻⁹ of that volume containing viral particles. The user attempts to convert the saliva volume from cm³ to nm³, correctly noting that 1 cm³ equals 10⁻⁶ m³ and 1 nm³ equals 10⁻²⁷ m³. The conversion leads to a calculation of 0.044 cm³ being equal to 4.4e⁻²¹ m³. The discussion highlights the importance of proper unit conversion in determining the number of influenza viruses present.
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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?
 
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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.
 


So .044 cm3 is equal to 4.4e^-21?
 
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