Differentiation: Cylinder Optimisation Problems

Differentiation - Optimisation 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? 2) Use calculus to find the minimum, does your answer fit with the graphic? 3) If volume is measured in millilitres, what would the unit for surface area be? 4) Why would solving these sorts of problems be useful?