Question

In: Physics

Optimization of a cylinder container with a height of 4 inches and a radius of 1.25...

Optimization of a cylinder container with a height of 4 inches and a radius of 1.25 inches in terms of either volume OR surface area.

Please provide:

(A) Calculation of surface area/volume of the container.

(B) Primary and secondary constraint equations

(C) Derivative of primary equation

(D) Optimized dimensions and how they were determined (number-line analysis to show that the dimensions result in an optimized solution.

(E) Graph of optimization (in terms of volume OR surface area in terms of the radius) marking the optimized value, as well as the actual value based on the actual radius.

(F) Comparison of your results with the container’s actual. In other words, if you chose to optimize the volume, then show: Optimized volume-Actual volume/Actual volume×100% which shows the additional percentage of volume your optimized container holds. If you chose to optimize the surface area, then show: Actual surface area- Optimized surface area/Actual surface area×100 which shows the reduced percentage of surface area your optimized container has.

Solutions

Expert Solution

genius_generous answered 1 year ago
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