"Published in Newark, California, USA"
Two vertical brine tanks, with tops on the same level, one 16 ft. deep, the other 4ft. deep, have their tops and bottoms connected by pipes 2 in. in diameter. If the pipe connecting the tops measures 5 ft., find the weight of brine in the other pipe when entirely full. (The brine weighs 66.8 lb. per cu. ft.)
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| Photo by Math Principles in Everyday Life |
Solution:
To analyze more the problem, it is better to label further the given figure as follows
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| Photo by Math Principles in Everyday Life |
By Pythagorean Theorem, the length of a pipe that connects the bottom of two tanks is
Hence, the volume of a brine in a pipe that connects the bottom of two tanks is
Therefore, the weight of a brine in a pipe that connects the bottom of two tanks is
