This was pretty interesting to an egghead math guy like me, so I did some math on this on protrusions, depressions, and overall roundness.

• The earth's radius is about 3959 miles.

• The earth's highest mountain above sea level is 5.5 miles high.

• So the highest mountain sticks out above its relative surface .1389%

• The radius of a billiard ball is 1.125 inches

• A bump on the ball that would represent the largest mountain on earth would be .00156 inches high or 1.56 mil (Imperial)

• This equates to .0397 millimeters

• So according to some measurements taken on here, if a billiard ball had measles, raised numbers, stripes, or other imperfections .002 inches out of round (2 mil or .0508mm) that would be like a mountain 7.0438 miles high, or 37,161 feet above sea level, 28% higher.

• Billiard balls with variances of .02 millimeters would be 0.0008 inches (.8 mil) or .0711% or mountains only 2.82 miles high, about half the height of the tallest mountain.

So based on the average of those two readings, we could surmise that a surface of a billiard ball may be precisely about as bumpy as the earth.

Fitting when you think of fractal patterns in nature maybe ;-)

However, if you consider depressions or scratches/chips on a used billiard ball, the lowest land on earth is about 413 meters or .2566 miles below sea level. This would equate to a depression only .07mil or .002 millimeters. An old cue ball I have here has a little ding in it probably .3 millimeters deep. That would equate to a canyon 40 miles below sea level on earth!

As for 'roundness' or sphericity, a billiard ball is probably more perfectly round than the earth. The rotation of the earth causes the earth to be 27 miles wider around the equator than a meridian thru the poles. This would resemble a squatty billiard ball about 1.1 millimeters narrower along one axis versus another, which I think would slightly but noticeably make the ball skitter or wow on the table.

So if I were to do a makeshift Mythbusters impression on here, my assessment of this claim is 'PLAUSIBLE'.

Bill