$\"\"$

The Parametric equations are $\"\"$ , $\"\"$ and $\"\"$ .

Definition of the surface area:

If the curve given by the parametric equations $\"\"$ and $\"\"$ , $\"\"$ is rotated about $\"\"$ -axis, then the area of the resulting surface is given by

$\"\"$ .

$\"\"$

Observe the graph,

Surface area of the parametric curves is $\"\"$ sq units.

$\"\"$

Observe the graph,

Surface area of the parametric curves is $\"\"$ sq units.