Mr geometer, indeed the Bible does use the Hebrew word ball or sphere (dur or duwr) as at Isaiah 22;18 but not for the Earth where as we are all aware it is described as a circle. This is not divinely inspired but like most of the Bible, it's a reflection of the thinking of the time period. People's view of the world in the 6th century BC was of a glass-like heavenly dome covering a flat Earth as poetically interpreted in Isaiah 40,22 using the Hebrew word chug meaning circle. Dur can also mean circle but chug cannot mean (to my knowledge) a sphere.
The ancient Greeks using measurements, later determined not only that the Earth was a sphere but also measured the size of the planet. Towards the end of the 2nd century BC Eratosthenes of Alexandria determined the diameter of the globe by logical analysis of the angle of the sun simultaneously in two locations at a known distance apart.
However if you still place the words of the Bible above either common sense or scientific evidence, then I'm afraid there is little hope for you ever understanding anything.
The Bible is not reliable for facts it is an ancient STORYBOOK and bears all the evidence of human authorship.