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.
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.
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Transcribed Image Text: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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