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RE 3 Filling a tank Water flows into a conical tank at a
Chapter 7, Problem 67RE(choose chapter or problem)
RE 3 Filling a tank? Water flows into a conical tank at a rate of 2 ft /min. If the radius of the top of the tank is 4 ft and the height is 6 ft, determine how quickly the water level is rising when the water is 2 ft deep in the tank.
Questions & Answers
QUESTION:
RE 3 Filling a tank? Water flows into a conical tank at a rate of 2 ft /min. If the radius of the top of the tank is 4 ft and the height is 6 ft, determine how quickly the water level is rising when the water is 2 ft deep in the tank.
ANSWER:Solution Step 1: 3 Given Water flows into a conical tank at a rate of 2 ft /min. the radius ‘r’ of the top of the tank is 4 ft and the height ‘h’ is 6 ft, Then r = 4 = 2 h 6 3 2 r = 3 h Volume of the conical tank is given by 1 v= 3 h 2 1 2 2 = 3 (3h) h = 4 (h ) 27