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| PAGE: 225 | SET: Exercises | PROBLEM: 31 |
The right circular is designed to hold soft drink of 
meter.
(a)
(b)
Complete the table:
Length  |
Height  |
Area  |
 |
 |
 |
 |
 |
 |
 |
 |
 |
 |
 |
 |
 |
 |
 |
 |
 |
 |
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)
| Length |
Height |
Area |
| |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
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The maximum area is at .
(c) The area .
(d) The maximum area is at .
(e) Graph the :
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