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11262006  #1 
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optimization problem calculus
I have a hard time with an optimization problem. Any help is much appreciated.
Problem: A Yuppie from Yorkville wishes to build a whirlpool in the renovated loft. The whirlpool will be cylindrical in shape and will hold 5m cube of water. The bottom of the pool will be ceramic tile and the sides will be redwood. Ceramic costs twice as much as the wood. Find the dimensions of the pool to minimize the cost of construction. 
11272006  #2 
Join Date: Mar 2005
Posts: 10,653

Start with the formula for the surface area and volume of a cylinder.
It holds 5m^{3} of water, so and Use the to find the resulting in a cylinder with the smallest possible surface area.
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Do Math and you can do Anything! Last edited by Mr. Hui; 11272006 at 09:14 PM.. 
11272006  #3 
Join Date: Oct 2006
Posts: 822

???????????
What grade level is this supposed to be? I could probably do it ( in like an hour...), but i will probably get it wrong
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11272006  #4 
Join Date: Mar 2005
Posts: 10,653

Calculus is most often a (required) college level mathematics course. It is also offered in high schools as Advanced Placement.
This particular example deals with 3D optimization, a topic usually covered in an advanced calculus course.
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Do Math and you can do Anything! 
11282006  #5 
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that stuff looks and i know it is, HARD.
WUT GRADE IS LILI2000 IN??? is she insane doing this kind of work 
11282006  #6 
Join Date: Oct 2006
Posts: 822

U will probably have to do this kind of stuff too later
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11282006  #7 
Join Date: Oct 2006
Posts: 822

It sure is
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11282006  #8 
Join Date: Oct 2006
Posts: 822

trig isn't too hard...
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11282006  #9 
Join Date: Mar 2005
Posts: 10,653

Trig is hard. It's mostly memorization of the sin, cos and tan functions.
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Do Math and you can do Anything! 
11282006  #10 
Join Date: Oct 2006
Posts: 822

what is the correct name of that circle with a ine through it? It can be used in the equation s=r(the circle thin)
it is the central angle, but waht is the correct name?
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