### Dimensions that minimize the surface area of a cylinder

http://integralcalc.com/Subscribe :) http://www.youtube.com/subscription_center?add_user=theintegralcalcLearn 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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