# Question #53d0e

##### 1 Answer

Cylinder with radius of

#### Explanation:

First, let's recognize that we must find the dimensions of a cylinder that yields a volume of **surface area** possible. This means that we must minimize the quantity

Since the volume of a cylinder is

Plugging back into our equation for surface area yields

Since we want to find the minimum of this function, we must take the derivative with respect to

Now, all we have to do to solve for

Solving for

So our final answer is a cylinder with a radius of