Write the Word or Phrase That Best Completes Each Statement $\mathrm { V }$

question 100

Essay

Write the word or phrase that best completes each statement or answers the question.
-The volume $\mathrm { V }$ (in cubic inches) of a cylindrical pipe with length 12 inches is given by $\mathrm { V } ( \mathrm { r } ) = 12 \pi \mathrm { r } ^ { 2 }$ , where $\mathrm { r }$ is the radius of the piston (in inches). If the radius is increasing with time $t$ (in minutes) according to the formula $r ( t ) = \frac { 1 } { 6 } t ^ { 2 } , t \geq 0$ , find the volume $V$ of the pipe as a function of the time $t$ .

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Definitions:

Machine-Hour

A unit of measure representing the operation of one machine for one hour, used in cost accounting to allocate expenses to products based on the time machines are used in their production.

Overhead Applied

The amount of overhead cost allocated to products or job orders based on the predetermined overhead rate, used for cost accounting purposes.

Machining Department

A specific division within a manufacturing facility where machining processes such as cutting, drilling, or milling are performed on workpieces to produce finished parts.

Overhead Rates

Ratios used to allocate indirect costs to products or services, based on a predetermined activity base such as labor hours or machine hours.