Yes, it is true that the same question was used in 2003. Also, this question is used in many schools throughout the nation. If you need help, you can ask some seniors, or get help from students in other schools where they have already done the project earlier.
Anyway, I think I might be able to help shed a little light. Here:
I'm sure you understand the format, the project must be neat, there must be a title, and also a table of contents. Then there is an introduction, where you briefly describe the project and how you solve the problem. Then is the actual problem solving.
You must have two strategies for solving the problem. These are the two strategies:
(i)Tabulate a quantity value table and then draw a graph and determine the minimum point
(ii)Differentiation.
This is how you would go about doing the differentiation:
The area of aluminum used is the area of the sides, 2πrh, plus the area of both ends, 2πr^2.
The volume of the can is V = πr^2h. You can write this as h = V/(πr^2) . The area is then
A = 2πr*(V/πr^2) + 2πr^2 =( 2π^2r^3)/V + 2πr^2
Take the derivative of A with respect to r, and find the minimum for A.
Then solve for h from the equation for volume h = V/(πr^2)
Well, at least, I think that's how you do it, I'm not too sure. Saya sendiri belum mula buat :P
2006-10-31 17:26:09
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answer #1
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answered by Hakim Bin Luqman 2
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