The words rebilled, rebuild sound the same but have different meanings and spellings. Why do rebilled, rebuild sound the same even though they are completely different words?
The answer is simple: rebilled, rebuild are homophones of the English language.
Simple past tense and past participle of rebill.
To build again.
To make extensive structural repairs on.
To remodel or make extensive changes in: tried to rebuild society.
Definitions from Wiktionary, Creative Commons Attribution/Share-Alike License, from The American Heritage® Dictionary of the English Language, 4th Edition and Wordnik.
Homophones (literally "same sound") are usually defined as words that share the same pronunciation, regardless of how they are spelled.
If they are spelled the same then they are also homographs (and homonyms); if they are spelled differently then they are also heterographs (literally "different writing").