The Volume of a Right-Circular Cylinder of Radius R and Height

question 73

Multiple Choice

The volume of a right-circular cylinder of radius r and height h is . ​
Suppose the radius and height of the cylinder are changing with respect to time t. At a certain instant of time, the radius and height of the cylinder are 6 and 3 in. and are increasing at the rate of 0.4 and 0.1 in./sec, respectively. How fast is the volume of the cylinder increasing?

• A) 18 in³/sec
• B) 10.7 in³/sec
• C) 22.7 in³/sec
• D) 9.4 in³/sec

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Definitions:

Conscious-Unconscious

Refers to the distinction between mental processes and contents that are within an individual's awareness and those that are not.

Force Field Theory

A concept developed by Kurt Lewin, suggesting that situational factors ("forces") can influence individuals' behavior by either facilitating or hindering their intentions.

Intrinsic Value

The inherent worth of something, independent of its utility or function.

Stimulus-Response Units

Basic building blocks of behaviorist theories where a specific stimulus leads to a predictable behavioral response.