Reposting from stackoverflow :) - Told to go here :)
So I've got a issue with a math assignment, and I were hoping someone could at least point me to what I should be doing, because currently I'm just wasting my time, thats for sure. - Please don't solve it all, thats up for me to do so :)
The assignment sounds like this:
A swimming pool is circular with a 10-metre diameter. The depth is constant along east-west lines and increases linearly from 1meter at the south end to 2meters at the north end. - Find the volume of water in the pool.
I figured out that its about using double integrals on polar coordinates, however from there I kinda stalled, first of all; (1) if the pool is circular and has a 10-metre diameter, am I certain that the diameter is 10metres everywhere on the pool? - or just on a single spot? - That is could the pool be oval? (2) How far goes a 'side' alike west, east, north and south, on such a circular pool? - if its circular when will I know when I'm in the east line, and what about the north-east? (3) Would it seem likely that I'm going to describe the pool as a polar function first, before even considering the use of Integrals?
I know this might not be the correct fora, for math questions, however stackoverflow has always seemed like a nice helpfull community :)