a.
To find: To find the volume of the cylinder.
a.
Answer to Problem 31E
The volume of the cylinder is
Explanation of Solution
Given:
The Perimeter of the rectangle sheet is
Calculation:
Let the dimensions of the sheet is
Since the sheet is turned as cylinder let
Let the volume of the cylinder is V
b.
To find: To find the dimensions of the maximum volume.
b.
Answer to Problem 31E
The dimensions of the maximum volume are
Explanation of Solution
Given:
The volume
Calculation:
In order to maximize the volume both parts require same parameters.
Let,
Let any function ,
Critical points occur at,
We get that critical point occurs at
For
Thus we get, for maximum volume, the dimensions are
Chapter 4 Solutions
CALCULUS-W/XL ACCESS
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