Use Spherical Coordinates to Evaluate $\iiint _ { B } \sqrt { x ^ { 2 } + y ^ { 2 } + z ^ { 2 } } d V$

question 16

Multiple Choice

Use spherical coordinates to evaluate $\iiint _ { B } \sqrt { x ^ { 2 } + y ^ { 2 } + z ^ { 2 } } d V$ , where $B$ is the ball $x ^ { 2 } + y ^ { 2 } + z ^ { 2 } \leq 10$ .

• A) \(10000 \pi\)
• B) \(10 \pi\)
• C) \(1000 \pi\)
• D) \(2000 \pi\)

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Definitions:

Direct Method

A costing method that directly allocates service department costs to producing departments without any intermediate allocation steps.

Operating Activities

Refers to the primary revenue-generating activities of a business, typically including sales, service delivery, and associated costs.

Indirect Method

A way of preparing a cash flow statement where net income is adjusted for non-cash transactions and changes in working capital.

Cash Flows

The cumulative sum of funds moving in and out of a company, particularly regarding its ability to meet short-term obligations.