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Volume The axis of a storage tank in the form of a right circular cylinder is horizontal (see figure). The radius and the length of the tank are 1 meter and 3 meters respectively.
Determine the volume of fluid in the tank as a function of its depth d.
Use a graphing utility to graph the function in part (a).
Design a dip stick for the tank with markings of
Fluid is entering the tank at a rate of
Use a graphing utility to graph the function in part (d). When will the rate of change of the depth be minimum? Does this agree with your intuition? Explain.
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Chapter 8 Solutions
Calculus of a Single Variable
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