An initialll' empty water tank is shaped like a cone whose

Chapter 7, Problem 114

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An initialll' empty water tank is shaped like a cone whose axis is lertical. lts veftex is at the bottom: the cone is 9 ft deep and has a top radius of.1.5 ft. Beginning at time I : 0. *ater is poured into this tank ar 50 ftr/min. Meanwhile. water leaks iiom a hole at the tank's bottom at the rate of l0.rri cubic feet per minute. where.r' is the depth of water in the tank. (This is consistent with Touicelli's law of draining.) How long does it take to fill the tank?

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