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

question 132

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 8 and 2 in. and are increasing at the rate of 0.5 and 0.2 in./sec, respectively. How fast is the volume of the cylinder increasing?

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Definitions:

Efficient Use Of Resources

The optimal allocation and utilization of resources to maximize productivity and minimize waste.

Input Price

Input Price refers to the cost of resources used in the production of goods or services, including materials, labor, and overhead, which can affect production costs and pricing strategies.

Output Price

The price at which a product or service is sold, often determined by market conditions or regulation.

Marginal Revenue Product

The additional revenue generated from using one more unit of a factor of production, holding all other factors constant.