$\"\"$

The functions are $\"\"$ and $\"\"$ on interval $\"\"$ .

Definition of the area of a surface revolution:

Let $\"\"$ have a continuous derivative on the interval $\"\"$ .

The area $\"\"$ of the surface of revolution formed by revolving the graph of $\"\"$ about a horizontal or vertical axis is $\"\"$ .

Where $\"\"$ is distance between the graph of $\"\"$ and the axis of revolution.

Observe the graph:

$\"\"$ of $\"\"$ is greater than $\"\"$ of $\"\"$ .

Therefore, the surface of revolution given by $\"\"$ will be larger.

$\"\"$

The surface of revolution given by $\"\"$ will be larger.