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Old 11-26-2006   #1
Lili2000
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Default 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.
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Old 11-27-2006   #2
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Start with the formula for the surface area and volume of a cylinder.





It holds 5m3 of water, so



and















Use the to find the resulting in a cylinder with the smallest possible surface area.
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Old 11-27-2006   #3
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Default ???????????

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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Old 11-27-2006   #4
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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 3-D optimization, a topic usually covered in an advanced calculus course.
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Old 11-28-2006   #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
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Old 11-28-2006   #6
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Quote:
Originally Posted by kickonlanky View Post
that stuff looks and i know it is, HARD.
WUT GRADE IS LILI2000 IN???
is she insane doing this kind of work
U will probably have to do this kind of stuff too later
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Old 11-28-2006   #7
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It sure is
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Old 11-28-2006   #8
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trig isn't too hard...
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Old 11-28-2006   #9
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Trig is hard. It's mostly memorization of the sin, cos and tan functions.
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Old 11-28-2006   #10
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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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