1.6 Optimisation - Cylinder

Applet explorations
[b]1) [/b]This is based on similar foundations to the previous activity. Again, we are looking to minimise the surface area for a given (constant) volume. Suggest an area where this particular problem might be useful to solve.[br][br][b]2)[/b] Play around with the applet to get a feel for the problem geometrically. What is the minimum possible surface area for the baking tin? For what approximate values does this occur?[br][br][b]3)[/b] Develop an argument algebraically to verify this result, following similar methods to the previous activity.[br][br][b]Summarise any key points at the bottom of the page.[/b]
Applet conclusions
Note any key points from this activity. How can this applet be used to develop our understanding of calculus?
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Information: 1.6 Optimisation - Cylinder