Solution for QID #12179: If you want to optimally hold a given volume of liquid in a | StudyHelpMe

If you want to optimally hold a given volume of liquid in a cylinder, then you should make the diameter equal to the height of the cylinder. Mother way of saying this is that the height should be double the radius. La's try to optimize a 330cm' can of pop by finding the appropriate radius that minimizes the amount of material used (surface area). a. Express the relationship above between height and radius as an equation. b. Express the "given" variables so far in this equation. c. What are we required to find? d. Determine the equation that relates our given and required variables, and solve the equation. (Hint The opposite of "to the power of 3" is a "cubed root"). c. Describe qualitatively and quantitatively the shape and size of the can that holds 330cm3 of liquid and uses the smallest amount of surface area.