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12th Calculus

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water drains fromteh conical tank shown in the figure at the rate of 5 ft^3/min.

a. what is the relation between the variables h and r?

b. how fast is the water level dropping when h =6ft?

  • 12th Calculus - ,

    Since you have not provided the figure, you need to tell us the height of the water when the flow rate is 5 ft^3/min. Then one can calculate what it will be for other heights. It should be proportional to the height h.

    If the tank is conical, and the tip of the cone is at the bottom, r at the top of the water should be proportional to h at the top of the water. If the volume flow rate is Q, that equals pi*r^2* dh/dt, where dh/dt is the rate the water level is falling

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