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A village wishes to measure the quantity of water that is piped to a factory during a typical morning. A gauge on the water line gives the flow rate (in cubic meters per hour) at any instant. The flow rate is about 100 m3/hr at 6 am and increases steadily to about 280 m3/hr at 9 am. Using only this information, give your best estimate of the total volume of water used by the factory between 6 am and 9 am.
A village wishes to measure the quantity of water that is piped to a factory during a typical morning. A gauge on the water line gives the flow rate (in cubic meters per hour) at any instant. The flow rate is about 100 m3/hr at 6 am and increases steadily to about 280 m3/hr at 9 am. Using only this information, give your best estimate of the total volume of water used by the factory between 6 am and 9 am.
Final answer:Based on the given flow rates, the factory used an estimated total of 570 cubic meters of water between 6 am and 9 am.Explanation:The problem requires you to calculate the totalvolumeof water used by the factory between 6 am and 9 am. As we know, the flow rate increased steadily from 100 m3/hr at 6 am to 280 m3/hr at 9 am. This indicates a linear increase in the flow rate.Therefore, we can consider theaverage flow rateduring this time, which is the sum of the initial and final rates divided by 2. Hence, the average flow rate is (100 m3/hr + 280 m3/hr) / 2 = 190 m3/hr.To find the total volume of water used, we multiply the average rate by the total time in hours. So, between 6 am and 9 am, a duration of 3 hours, the volume of water used is 190 m3/hr x 3 hr = 570 m3.So, we estimate that the factory used a total volume of 570cubic metersof water between 6 am and 9 am.Learn more about Flow Rate here:brainly.com/question/33722549#SPJ11...