have done the calculus which reveals that the surface area is at a minimum when height is double the radius. I am now trying to find an equation for the relationship between the amount of wasted surface area as a percentage of the minimum surface area and the ratio between height and radius.
If I were to plot it on a graph, the y axis would be the percentage of excess materials needed as a percentage of the minimum possible surface area, and the x axis would be height divided by radius. Since the surface area is minimized when height=2(radius), I know that when x=2, y=0.
The website https://www.datagenetics.com/blog/august12014/index.html explains what I am trying to do quite well and shows the graph below. I am trying to find the equation for this graph, but am unsure how to go about it.
t tutor over possibly the next 3-4 months as I work through Calculus I & II. My availability would be best for someone able to help on Friday & Saturday late afternoons/evenings as this will be early Saturday & Sunday morning respectively my time. I'm looking for someone fluent and very understandable in English who can thoroughly explain concepts through audio and visuals. I have a very reliable audio/video setup on my end. I'm already a decent math student, but I am taking these classes online as part of a CompSci degree and an in-depth understanding of the concepts and manipulation techniques is very important to me. Thanks!