For its beef stew, Betty Moore Company uses aluminum containers that have the form of right circular cylinders. Find the radius and height of a container if it has a capacity of 36 in.3 and is constructed using the least amount of metal. Round your answers to two decimal places, if necessary. Let r and h (in in.) be the radius and height of the container, respectively. in. Complete the following parts. (a) Give a function f in the variable r for the quantity to be optimized. f(r) = %3D (b) State the domain of this function. (Enter your answer using interval notation.) (c) Give the formula for h in terms of r. h = %3D

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