As depicted above, oil is leaking out of the cone into a cylinder (storage container) whose circular base has an area of 400n. The depth of the oil in the cone is changing at a rate of y - 12 ft/min. (a) Create an expression for the volume of oil in the cone as a function of y. (b) At y-3, find the rate at which the volume of oil in the cone is changing. Include units and a brief sentence in context. (c) Let h be the depth of the oil in the tank at the cylindrical storage container. Determine the rate that h is changing at the instant y-3. Include units and a brief sentence in context.

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Exponential Growth Model

The relation that represents an exponential function is: