Treat a cell in a human as a sphere of radius 1.0 µm.

(a) Determine the volume of a cell.

(b) Estimate the volume of your body. (Consider your body to be a cylinder having a radius of about 6 inches (or 0.15 m) and a height of about 1.5 meters.)
(c) Estimate the number of cells in your body.

1 answer

(a) v = 4/3 πr^3 = 4/3 π µm^3
(b) v = πr^2 h = π(0.15)^2 * 1.5 = 0.03375π m^2
(c) now divide (b)/(a) and watch the units