Question: 3.4 Optimization Problems in Economics and Science 9. A tank has hemispherical ends and a cylinder center. The cost (per square meter) of manufacturing the

3.4 Optimization Problems in Economics and Science 9. A tank has

3.4 Optimization Problems in Economics and Science 9. A tank has hemispherical ends and a cylinder center. The cost (per square meter) of manufacturing the hemispherical ends is double in comparison with the cost (per square meter) of manufacturing the cylindrical part. Find the proportions (the ratio between height and radius) of the cylinder that will maximize the volume for a given total cost

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