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

question 321

Essay

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 4 in.and are increasing at the rate of 0.5 and 0.1 in./sec, respectively.
How fast is the volume of the cylinder increasing?

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Definitions:

Centre-of-Gravity

A method used in logistics and supply chain management to determine the best location for facilities based on minimizing transportation costs, considering the locations of suppliers, customers, and other factors influencing the total cost.

Quantitative Methods

A systematic empirical investigation of observable phenomena via statistical, mathematical, or computational techniques.

Labour Productivity

A measure of economic performance that indicates the amount of goods and services produced by one hour of labor.

Low Wages

Low wages refer to compensation that is significantly lower than the average for comparable work in a specific region, industry, or within a particular occupation.