Gravel Is Being Dumped from a Conveyor Belt at a Rate

question 57

Multiple Choice

Gravel is being dumped from a conveyor belt at a rate of 32 ft/min and its coarseness is such that it forms a pile in the shape of a cone whose base diameter and height are always equal. How fast is the height of the pile increasing when the pile is 10 ft high? Round the result to the nearest hundredth.

• A) \(0.41 ~\mathrm{ft} / \min\)
• B) \(1.24 ~\mathrm{ft} / \min\)
• C) \(0.14 ~\mathrm{ft} / \min\)
• D) \(0.27 ~\mathrm{ft} / \min\)
• E) \(0.6 ~\mathrm{ft} / \min\)

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Definitions:

Overhead Applied

The allocation of estimated overhead costs to specific jobs or departments based on a predetermined rate or method.

Departments

Divisions within an organization, each responsible for specific functions or tasks, contributing to the organization's overall objectives.

Customizing Department

A specialized unit within a company that modifies products to meet specific customer requirements or preferences.

Departmental Predetermined Overhead Rates

Overhead rates calculated for each department based on estimated costs and activity levels, used to allocate overhead costs to products.