Solved: Construction An industrial propane tank is formed

Chapter , Problem 3.2.100

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Construction An industrial propane tank is formed by adjoining two hemispheres to the ends of a right circular cylinder. The length of the cylindrical portion of the tank is four times the radius of the hemispherical components (see figure). (a) Write a function that represents the total volume of the tank in terms of (b) Find the domain of the function (c) Use a graphing utility to graph the function. (d) Use the graph from part (c) to estimate the radius and length of the cylindrical portion of the tank when the total volume of the tank is 120 cubic feet.

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