$\"\"$

The right circular is designed to hold soft drink of $\"\"$ meter.

(a)

$\"\"$

$\"\"$

(b)

Complete the table:

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

The maximum area is $\"\"$ at $\"\"$ .

$\"\"$

(c)

Find the area $\"\"$ as a function of $\"\"$ .

The area $\"\"$ .

$\"\"$

(d)

The area is $\"\"$ .

Apply derivative on each side with respect to $\"\"$ .

$\"\"$

Find the critical numbers by equating $\"\"$ .

$\"\"$

Substitute $\"\"$ in $\"\"$ .

$\"\"$

$\"\"$ .

The maximum area is $\"\"$ at $\"\"$ .

$\"\"$

(e)

Graph the area: $\"\"$ .

$\"\"$

Observe the graph:

The maximum area is $\"\"$ at $\"\"$ .

$\"\"$

(a)

$\"\"$

(b)

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

The maximum area is $\"\"$ at $\"\"$ .

(c) The area $\"\"$ .

(d) The maximum area is $\"\"$ at $\"\"$ .

(e) Graph of $\"\"$ :

$\"\"$ .