How To Do THe Pool Problem

Posted on September 27, 2016


“Water is flowing out of a garden hose at a rate of 10 gallons per minute into a circular swimming pool that has a diameter of 16 feet. How fast is the water rising in the pool in inches per minute?   Hint:  The area of a circle is pi r squared (done in proper math notation that I’m not going to bother with here). ”

Yes, I’m in full “sympathy for the student” mode here.   I totally get why this is in here — get folks thinking about what volume *means.*   I see what I see, however.   I see the students whom it propels into “HELP!! I CAN’T DO MATH!!”  mode.  It takes a lot of energy for me to get ’em thinking about volume instead of thinking about dropping the course.  The main problem is a simple one:  Overwhelm, and  they don’t have a conversion for gallons to cubic inches or cubic feet.   All their other problems can be solved w/ that sheet.   It’s the details — but they matter!






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