Let V Be the Volume of a Cylinder Having Height

question 203

Short Answer

Let V be the volume of a cylinder having height h and radius r, and assume that h and r vary with time. When the height is 5 in. and is increasing at 0.2 in./s, the radius is 3 in. and is decreasing at 0.1 in./s. How fast is the volume changing at that instant? Is the volume increasing or decreasing at that instant?

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Definitions:

Advertising Elasticity of Demand

The responsiveness of the quantity demanded of a good to a change in the amount of advertising for that good.

Marginal Cost of Production

The change in total production costs that comes from making or producing one additional item.

Advertising Elasticity of Demand

Measures the responsiveness of the quantity demanded of a good or service to a change in the level of advertising for that good or service.

Rule of Thumb

A general principle that provides practical instructions for accomplishing or approaching a certain task.