$\"\"$

\

The table is

\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \

\ Radius r \	\ Height \	\ Surface Area S \
\ 0.2 \	\ $\"fraction$ \	\ $\"2$ \
\ 0.4 \	\ $\"fraction$ \	\ $\"2$ \

\

\

$\"\"$

\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \

\ Radius r \	\ Height \	\ Surface Area S \
\ 0.2 \	\ $\"fraction$ \	\ $\"2$ \
\ 0.4 \	\ $\"fraction$ \	\ $\"2$ \
\ 0.6 \	\ $\"fraction$ \	\ $\"2$ \
\ 0.8 \	\ $\"fraction$ \	\ $\"2$ \
\ 1.00 \	\ $\"fraction$ \	\ $\"2$ \
\ 1.20 \	\ $\"fraction$ \	\ $\"2$ \

\

$\"\"$

\

Therefore the maximum area of the rectangle is approximately 220.3