Calculating Molecule Density at High Altitudes

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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?