please understand the difference between admissions and finnacial aid - at the Ivy League schools they are two separate offices -
Admissions is need -blind - meaning they do not know if you are requesting financial aid.
FinAid for Domestic students is need-based...meaning Cornell says they will meet your full-need if admitted. Need. not Want. If the financial aid formula shows they your family should contribute $20,000/year towards your education, but your parents don't want to, Cornell will not make up the difference.
Finaid is very limited for Int'l students.