Dimensions that minimize the surface area of a cylinder (KristaKingMath)
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 Published On Aug 23, 2012

► My Applications of Derivatives course: https://www.kristakingmath.com/applic...

Learn how to find the dimensions of a cylinder that will minimize its surface area. Since this is an optimization equation, draw a picture of the problem and write down what you know, identify optimization and constraint equations, and then solve the constraint equation for one of the variables so that you can plug your answer into the optimization equation and get the optimization equation in terms of one variable. Then take the derivative of the optimization equation, set it equal to zero, and solve for the variable. Then make sure you're answering the question you were actually asked.

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If you could use some extra help with your math class, then check out Krista’s website // http://www.kristakingmath.com

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Hi, I’m Krista! I make math courses to keep you from banging your head against the wall. ;)

Math class was always so frustrating for me. I’d go to a class, spend hours on homework, and three days later have an “Ah-ha!” moment about how the problems worked that could have slashed my homework time in half. I’d think, “WHY didn’t my teacher just tell me this in the first place?!”

So I started tutoring to keep other people out of the same aggravating, time-sucking cycle. Since then, I’ve recorded tons of videos and written out cheat-sheet style notes and formula sheets to help every math student—from basic middle school classes to advanced college calculus—figure out what’s going on, understand the important concepts, and pass their classes, once and for all. Interested in getting help? Learn more here: http://www.kristakingmath.com

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