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.
memphis, TN and New orleans, LA lie approximately on the same meridian. Memphis has a latitude of 35°N. find the distance between the 2 cities. (the radius of the earth is 3960 miles.)
Adam stands 30 ft from the base of a building and measures the angle of the elevation from the ground to the top of the building to be 57°. How tall is the building?