Use Spherical Coordinates $\iiint _ { B } \left( x ^ { 2 } + y ^ { 2 } + z ^ { 2 } \right) ^ { 2 } d V$

question 6

Multiple Choice

Use spherical coordinates. Evaluate $\iiint _ { B } \left( x ^ { 2 } + y ^ { 2 } + z ^ { 2 } \right) ^ { 2 } d V$ , where $B$ is the ball with center the origin and radius $6$ .

• A) \(\frac { 4374 } { 7 } \pi\)
• B) \(\frac { 559872 } { 7 } \pi\)
• C) \(\frac { 1119744 } { 7 } \pi\)
• D) \(\frac { 4374 } { 7 }\)
• E) None of these

---

Definitions:

Factory Supplies Expense

The cost associated with supplies used in the production process within a manufacturing facility.

Depreciation Expense-Factory

The portion of a factory's fixed assets' cost allocated as an expense during a fiscal period, due to wear and tear.

Permanent/Temporary

Refers to elements in financial or other records that either remain constant over time (permanent) or exist only for a specific period before being eliminated (temporary).

Financial Statement

A formal record of the financial activities and position of a business, individual, or other entity.