1.6 Optimisation - Cylinder

Applet explorations

1) 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. 2) 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? 3) Develop an argument algebraically to verify this result, following similar methods to the previous activity. Summarise any key points at the bottom of the page.

Applet conclusions

Note any key points from this activity. How can this applet be used to develop our understanding of calculus?