Use Cylindrical Coordinates to Evaluate $\iiint _ { T } \sqrt { x ^ { 2 } + y ^ { 2 } } d V$

question 37

Multiple Choice

Use cylindrical coordinates to evaluate $\iiint _ { T } \sqrt { x ^ { 2 } + y ^ { 2 } } d V$ , where $T$ is the solid bounded by the cylinder $x ^ { 2 } + y ^ { 2 } = 1$ and the planes $z = 4$ and $z = 8$ .

• A) \(\frac { 8 } { 3 } \pi\)
• B) \(4 \pi\)
• C) \(32 \pi\)
• D) \(48 \pi\)

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Definitions:

Activity Measure

An allocation base in an activity-based costing system; ideally, a measure of whatever causes the costs in an activity cost pool.

Average Actual Selling Price

The mean price at which goods or services have been sold, calculated over a specific period or volume of sales.

Spending Variance

The difference between how much a cost should have been, given the actual level of activity, and the actual amount of the cost. A favorable (unfavorable) spending variance occurs because the cost is lower (higher) than expected, given the actual level of activity for the period.

Static Planning Budget

A budget based on a fixed level of activity that does not change with actual levels of output, sales, or other activity measures.