To find: The function that models volume of a cylinder in terms of its radius whose height is four times its radius.
The function is modeled as .
Volume of a cylinder is,
The radius of cylinder is and is height of cylinder.
Model the function in single variable .
The height is four times its radius, express it algebraically.
Area of circular base is,
Summarize all the information in a table as shown below,
|In Words||In Algebra|
|Radius of cylinder|
|Height of cylinder|
|Area of Circular base|
Model an equation form the above information.
Thus, the function is modeled as .
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