Use a Spherical Coordinate Integral to Find the Volume of the Given

question 147

Multiple Choice

Use a spherical coordinate integral to find the volume of the given solid.
-the solid enclosed by the cardioid of revolution $\varrho = 5 + 3 \cos \varphi$

• A) \(\frac { 340 } { 3 } \pi\)
• B) \(\frac { 680 } { 3 } \pi\)
• C) \(\frac { 1360 } { 3 } \pi\)
• D) \(\frac { 170 } { 3 } \pi\)

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Definitions:

Arbitrary Allocation

The distribution of indirect costs to specific cost objects without a clear or direct basis, often based on convenience or convention rather than actual usage or benefits derived.

Common Cost

A cost that is incurred to support a number of cost objects but that cannot be traced to them individually. For example, the wage cost of the pilot of a 747 airliner is a common cost of all of the passengers on the aircraft. Without the pilot, there would be no flight and no passengers. But no part of the pilot’s wage is caused by any one passenger taking the flight.

Variable Costing

A costing method that includes only variable production costs (costs that change with the level of output) in product costs, excluding fixed manufacturing overhead.

Absorption Costing

An accounting method that includes all manufacturing costs (direct materials, direct labor, and both variable and fixed manufacturing overhead) in the cost of a product.