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Use the graph to plot the radius and corresponding surface area for the three cans from before. Then collect a 1600 1400 Surface Area (cm?) 1200 1000 800 600 400 200 0 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 Radius (cm) Answer the following questions to explore the relationship between the surface area of a can and its radius. Using the volume of a standard Coca-cola can, Now rewrite the surface area (strictly) in terms of rewrite the height in terms of the radius. the radius, and sketch it above. Based on your graph, what radius would result in What would be the height of this can, and what the least expensive can to produce? would it look like? Draw a rough sketch below. Coca-cola produces roughly 19 billion soda cans each year for the United States alone. Approximately how much money would they save by using the cheapest can instead of the current one..and why do you think they don't?A can of Coca-cola has a height of 12.1 cm and a radius of 3.1 cm. Calculate its volume. Then, come up with two new cans with the same volume - a taller can and a wider can - and design them below. Height 12.1 cm Radius 3.1 cm Diameter Volume Aluminum costs $0.00016 per square centimeter. At this rate, calculate how much it would cost Coca-cola to produce each can above. Based on this, which can do you think Coca-cola should use and why? S.A Cost