Differentiation - Optimisation [br]What is the minimum possible surface area for a cylinder with a set volume?

1) Use the slider to find the minimum surface area of the cylinder, what are the dimensions of this cylinder?[br]2) Use calculus to find the minimum, does your answer fit with the graphic?[br]3) If volume is measured in millilitres, what would the unit for surface area be?[br]4) Why would solving these sorts of problems be useful?