How long does it take for a conical funnel with a 45 degree angle to drain?

Question

clarence · Answer

@ganeshie8 Someone suggested to tag you in this, do you think you could help me out?

clarence · Answer

attachment

clarence · Answer

That was all that we got unfortunately to solve the problem.

ganeshie8 · Answer

Look at the funnel http://mathcentral.uregina.ca/QQ/database/QQ.09.08/h/rachael1.1.gif

ganeshie8 · Answer

since the slant angle is 45 degrees, we can say that radius is same as the height

ganeshie8 · Answer

There is no way to know the numerical value of $r$. 

Do they want the answer expressed in terms of $r$ ?
What are you filling the funnel with, water / some other liquid ?

ganeshie8 · Answer

We need to know such details to proceed further with the solution...

clarence · Answer

Thanks fair enough. I was thinking that maybe the answer requires to be a mathematical expression rather than a solution.

ganeshie8 · Answer

I suggest you not guess. Just call your professor and tell him/her that the problem statement is not clear enough

clarence · Answer

I was going to bring it up in the tutorial tomorrow

ganeshie8 · Answer

Also, the time taken to drain the funnel depends on the output flow rate

ganeshie8 · Answer

That info is also missing

clarence · Answer

If the output flow rate is given by 1in/sec, what would be the answer expressed in terms of r?

ganeshie8 · Answer

in/sec is not a unit of flow rate

ganeshie8 · Answer

in/sec is unit for velocity

ganeshie8 · Answer

check this https://www.youtube.com/watch?v=2jQ1jA8uJuU

clarence · Answer

Fluid Mechanics... Great fun. A friend just recently sent me this link: http://diego.assencio.com/?index=62f54ab6114d473b6933ad5bf5a5fc88

ganeshie8 · Answer

If this is a calc1 problem, you don't have to get into fluid mechanics

clarence · Answer

That would be nice.