Wednesday, July 13, 2011
Math Problem VERY HARD!?
I have a small circular swimming pool in my backyard for my kids. Last weekend, I set it up and bought chlorine to put into it. The directions on the bottle said to put in 16 fluid ounces of chlorine per 10,000 gallons of water. Of course, our pool holds a lot less water than 10,000 gallons, so I needed to figure out the correct amount of chlorine to put in it. I measured the pool and found it to have a circumference of 27 feet 3 inches and a water height of 21 inches. I knew that the circumference of a circle was C=2-pi-r and the volume of a cylinder was V=pi-r-squared-h (r is the radius of the cylinder, and h is the height). I knew that the milliliter is a cubic centimeter. I also knew that there are 3.79 litres in 1 gallon, and 3.281 feet in 1 meter. How many fluid ounces of chlorine did I need to put into the pool? (I have a measuring spoon capable of measuring to the nearest quarter of a fluid ounce.)
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