Chemistry Calculating Molecule Density at High Altitudes

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At an altitude of 100 km, the average distance between air molecules is about 3x10^-4 mm. To calculate the number of molecules in a spherical volume with a diameter of 1 micrometer, one can find the volume of the sphere and then divide that by the average distance cubed. This method effectively estimates the number of molecules in the specified volume. The discussion emphasizes the importance of understanding molecular density at high altitudes for accurate calculations. Overall, the approach highlights a straightforward mathematical method for determining molecular counts in a given volume.
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At an altitude of 100 km, the average distance between air molecules is approximately 3x10^-4 mm. Compute the number of molecules contained in a spherical volume of diameter 1 um(micrometer)

I know this is probably a stupid question, but do I just find the volume of the sphere using the 1 micrometer and divide that quantity by the average distance cubed?
 
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That would be my approach.

Please don't ignore the template.
 
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