Erratum: The height that minimizes cost should be approximately 24.814. The other numbers are correct.
Helayna I.
asked • 12/06/19Optimization Calculus Question
An industrial tank is formed by adjoining two hemispheres to the ends of a right circular cylinder. The tank must have a volume of 4000 cubic feet. The material for the lateral surface costs $5 per square foot, and the material for the hemispherical ends costs $10 per square foot. Find the dimensions of the tank that will minimize cost.
Please help! I have been attempting to solve this problem for the past few days and I've had no success. I would really appreciate it if someone could please help me and show their work and reasoning for the answers. Thank you!
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