The volume of a sphere scales with the cube of its radius (V = (4/3) x pi x r^3); therefore, when comparing the volumes of two spherical droplets with a given ratio of radii, the ratio of their volumes is equal to the cube of the radius ratio, which determines how many of the smaller droplets are needed (by volume) to equal the volume of the larger droplet.
Given that the radius of a typical cloud droplet is 100 times smaller than that of a raindrop, the ratio of their volumes is the...
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