Use Cylindrical Coordinates to Find the Volume of the Solid $x ^ { 2 } + y ^ { 2 } + z ^ { 2 } = 64$

question 30

Multiple Choice

Use cylindrical coordinates to find the volume of the solid inside the sphere $x ^ { 2 } + y ^ { 2 } + z ^ { 2 } = 64$ and above the upper nappe of the cone $z ^ { 2 } = x ^ { 2 } + y ^ { 2 }$ .

• A) \(\frac { 512 } { 3 } ( 2 - \sqrt { 2 } )\)
• B) \(\frac { 8 } { 3 } ( 2 - \sqrt { 2 } ) \pi\)
• C) \(\frac { 512 \sqrt { 2 } } { 3 } \pi\)
• D) \( 512 ( 2 - \sqrt { 2 } ) \pi\)
• E) \(\frac { 512 } { 3 } ( 2 - \sqrt { 2 } ) \pi\)

---

Definitions:

External Factor

Influences originating outside of an organization that can affect its performance, such as economic conditions, competition, or regulatory changes.

Offers-applicants Ratio

The ratio of job offers given to the number of applicants, indicating the selectiveness or competitiveness of the hiring process.

Recruitment Strategy

A planned approach of identifying and attracting candidates to fill job vacancies within an organization.

Recruiting Method

Strategies and techniques used by organizations to find, attract, and hire candidates for job positions.