SOLUTION: I was struggling with this question. Please help me dear tutor . find the height and the radius of a cylinder of volume 150cm^3 which has the least surface area .

Question 880814: I was struggling with this question. Please help me dear tutor . find the height and the radius of a cylinder of volume 150cm^3 which has the least surface area .
Answer by Fombitz(32388) (Show Source): You can put this solution on YOUR website!
First find the volume of the cylinder.

Then first the surface area of the cylinder.

Now substitute from the volume so that the surface area is now only a function of one variable.

So then,

To minimize the surface area, take the derivative with respect to R and set it equal to zero.

So then you can work backwards to find L.

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