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How Many Particles on the Head of a Pin?

Question:
Given their approximate diameters, calculate the approximate number of
a. hepatocytes (diameter 20 micrometers) radius=10 micrometers,
b. bacteria (diameter 1 micrometers) radius=0.5 micrometers, and
c. virus particles (diameter 10 nm, radius=5 nm=.005 micrometers)
that can be placed in a single layer, on the head of a pin (diameter 0.5 mm= 500 micrometers, radius=250 micrometers). Assume all of the cells, particles and the pinhead to be spherical.

Solution Summary

Given diameters and radii, the number of certain particles that can fit on the head of a pin are calculated.

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