as you said i have sent a mail for sposorship of hackathon in our collage but its been a week or two untill now there is no response from your side
For sponsorship application it can take up to 2-3 months.
I guess there was the Holidays and this would have run into delay for those who have applied for sponsorship.
I speak regarding my situation, it maybe different with other forms of application and when you did apply.
I hope this can help you.
Regards, Armand B.