Concept explainers
In Exercises 59−64, write the specified quantity as a function of the specified variable. Remember that drawing a picture will help.
61. Volume of a Cylindrical Tank A cylindrical tank with diameter 20 ft is partially filled with oil to a depth of h feet. Write the volume of oil in the tank as a function of h.
To write: The volume of oil in the tank as a function of
The volume of the tank is equal to
Given information:
A cylindrical tank with diameter
Calculation:
The diameter of the cylindrical tank is
Then the radius of the cylindrical tank is
The depth is
Formula used:
The volume of the tank is given by
Substitute
Hence, the volume of the tank is
Chapter 1 Solutions
Precalculus: Graphical, Numerical, Algebraic Common Core 10th Edition
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