Evaluate $\iiint _ { T } f ( x , y , z ) d V$

question 57

Multiple Choice

Evaluate $\iiint _ { T } f ( x , y , z ) d V$ where $f ( x , y , z ) = 7 y$ and T is the region bounded by the paraboloid $y = x ^ { 2 } + z ^ { 2 }$ and the plane $y = 1$

• A) \(\frac { 7 } { 3 }\) \(\pi\)
• B) \(\frac { 1 } { 7 }\) \(\pi\)
• C) \(\frac { 49 } { 3 }\) \(\pi\)
• D) \(7\) \(\pi\)

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Definitions:

Overapplied Manufacturing Overhead

A scenario where the allocated manufacturing overhead costs exceed the actual overhead costs incurred, resulting in a credit balance.

Predetermined Overhead Rate

This is a rate used to allocate manufacturing overhead costs to individual units of production, based on a certain activity, such as labor hours or machine hours.

Direct Materials

Substances that can be directly linked to the manufacturing of a particular item.

Direct Labor

Labor costs that can be easily traced to individual units of product; essentially the wages paid to workers who directly manufacture goods.