Find the Average Value of the Function Over the Region $\mathrm { f } ( \mathrm { \rho } , \varphi , \theta ) = \varrho$

question 345

Multiple Choice

Find the average value of the function over the region.
- $\mathrm { f } ( \mathrm { \rho } , \varphi , \theta ) = \varrho$ over the "ice cream cone" cut from the solid sphere $\mathrm { p } \leq 4$ by the cone $\varphi = \pi / 3$

• A) 3
• B) \(\frac { 1 } { 3 }\)
• C) \(\frac { 3 } { 16 }\)
• D) \(64 \pi\)

---

Definitions:

Terman's Longitudinal Study

A long-term research project that began in the early 20th century, studying the lives of gifted individuals.

"Terman's Termites"

A longitudinal study started by Lewis Terman to examine the development of children with high IQ scores into adulthood.

Gifted Population

Individuals, often children, who demonstrate exceptional natural abilities in one or more domains.

IQ Standards

Established norms used to interpret an Intelligence Quotient score, usually centered around an average score with deviations representing differences in intelligence.