The function is
on
.
The function is revolved about the
-axis.
The formula for the surface area is
.

Apply derivative on each side with respect to
.

.
Substitute
,
,
and
in
.
.
Consider
.
Graph the function
on
.
Observe the graph:
\
.
Therefore, the surface area of solid is
.
The surface area is
.
The surface area is
.