A cylindrical tank 24 inches in radius and 2 meters tall initially contains 100 gal of cane juice. A level sensor is installed in the tank which signals an alarm once 70% of the total volume of the tank has been reached. At t=0, cane juice containing 40% sugar is poured into the tank at the rate of 15gpm, while the stirred mixture leaves at a rate of 5 gpm. assuming that due to operator negligence, this process continued at constant rates, after how many minutes will the alarm sound. Use 1 gal = 3.785 Li.

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A: topic - application of derivatives

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A: here we can use differential equation to solve this question.

Q: A tank initially holds 80 gal of a brine solution containing 1/8 lb of salt per gallon. At t=0,…

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A: please comment if you need clarification. if you find my answer useful put thumbs up. Thank you.