Hello, I'm working on a calculus project and need to know whether or not this is possible and how I'd go about solving this.

Would I be able to calculate the circumfrence of a circular shaped hole in a cylinder-shaped pipe if I have the rate at which the hole ejects smoke, the rate at which the room the pipe is located in fills, and the volume of the room?

And what would the formula be to go about solving this?

Thanks.