A closed wood storage having a volume of 27 in.3 is to be in the form of a right-circular cylinder. The circular top and bottom are cut from square pieces of wood. Using calculus, find the radius and height of the wood storage if the least amount of wood is to be used in its manufacture. Include the wood that is wasted when obtaining the top and bottom. Solve using optimization and derivatives

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Chapter9: Quadratic Equations And Functions
Section9.6: Graph Quadratic Functions Using Properties
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A closed wood storage having a volume of 27 in.3 is to be in the form of a right-circular cylinder. The circular top and bottom are cut from square pieces of wood. Using calculus, find the radius and height of the wood storage if the least amount of wood is to be used in its manufacture. Include the wood that is wasted when obtaining the top and bottom. Solve using optimization and derivatives
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