The Radius of a Right Circular Cylinder Is Increasing at a Rate

question 268

Essay

The radius of a right circular cylinder is increasing at a rate of 2 cm/min and its height is decreasing at 4cm/min. At what rate is the volume changing at the instant when the radius is 4 cm and the height is 10 cm?

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Definitions:

Progressive

Relating to or advocating for progress, change, or improvement, as opposed to wishing to maintain the status quo.

Proportional

Corresponding in size or amount to something else; having a constant relation in degree or number.

Bimodal

Characterized by or having two distinct modes or peaks in a distribution or set of data.

Taxable Income

The amount of an individual's or a corporation's income that is subject to taxation by government authorities.