Gravel Is Being Dumped from a Conveyor Belt at a Rate

question 76

Multiple Choice

Gravel is being dumped from a conveyor belt at a rate of $34 \mathrm { ft } / \mathrm { min }$ 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 $13 \mathrm { ft }$ high? Round the result to the nearest hundredth.

• A) \(0.6 \mathrm { ft } / \mathrm { min }\)
• B) \(0.26 \mathrm { t } / \mathrm { min }\)
• C) \(0.14 \mathrm { ft } / \mathrm { min }\)
• D) \(0.27 \mathrm { ft } / \mathrm { min }\)
• E) \(1.24 \mathrm { ft } / \mathrm { min }\)

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Definitions:

Net Realizable Value Method

An accounting method used to value an asset at the estimated selling price in the ordinary course of business, minus estimated costs of completion, disposal, and transportation.

Sequential Method

A cost allocation method where support departments' costs are allocated to production departments in a specific order, that somewhat reflects the level of services provided among support departments.

Support Departments

Units within an organization that provide essential services or support to the operational departments but do not directly participate in the primary activity of the business.

Proportional Usage

The allocation of costs, resources, or time in direct relation to the amount of goods or services produced or consumed.