## Cylinder problem (1)

**Find cylinder with lowest surface area which volume is V .**

**Solution :**

The volume of the cylinder is (r-radius, h-height) and height of cylinder will be

The surface area of cylinder is

We can write it as function

Derivative of function is

If then

if h=2r the cylinder will have lowest surface area.

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Categories: Cylinder
cylinder, derivative, Surface area

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