a.
To find : The volume of a cylinder as a function of height, where height
a.
Answer to Problem 54E
The volume of the function in term of height
Explanation of Solution
Given information:
The height
Concept used:
The volume of a cylinder
Calculation:
Here height
Then radius is
Substitute
Thus the volume of the function in term of height
b.
To find : The surface of a cylinder as a function of height, where height
b.
Answer to Problem 54E
The volume of the function in term of height
Explanation of Solution
Given information:
The height
Concept used:
The surface area of a cylinder
Calculation:
Here height
Then radius is
Substitute
Thus the surface of the function in term of height
c.
To find : The volume of a cylinder where surface area is
c.
Answer to Problem 54E
The volume is
Explanation of Solution
Given information:
The surface area of cylinder
Concept used:
The surface area of a cylinder
The volume of a cylinder
Calculation:
The surface area of a cylinder is
That is
Substitute
Thus the volume is
Chapter 0 Solutions
AP CALCULUS TEST PREP-WORKBOOK
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