Not the best question for this specific Stack Exchange. It's probably better-suited to the English Grammar section, but I'll answer it anyway.
The typical form for this type of construction is as follows:
a) so + ADJ/ADV that
b) such [a(n)] [ADJ] NOUN that
This would render your sentences as follows:
1) She started talking with such a loud voice that my ears began to ache.
2) He is drilling the wall so loudly that the windows begin trembling.
3) She was studying so hard that she was able to pass the exam.
I will say that example sentence (2) is not the best, especially in the verb tense for the subordinate clause "...the windows begin trembling". I think the phrase is stronger in the past tense:
"He was drilling the wall so hard that the windows began to tremble."
Whatever you choose, the SO/SUCH construction is the same.