A Sector with Central Angle $\theta \text { is }$ Is Cut from a Circle of Radius 10 Inches, and Is

question 19

Multiple Choice

A sector with central angle $\theta \text { is }$ is cut from a circle of radius 10 inches, and the edges of the sector are brought together to form a cone. Find the magnitude of such that the volume of The cone is a maximum.

• A) \(\sqrt { \frac { 4 } { 3 } } \pi\) radians
• B) \(2 \left( 1 - \sqrt { \frac { 2 } { 3 } } \right) \pi\) radians
• C) \(\frac { 3 } { 10 } \pi\) radians
• D) \(\frac { 1 } { 10 } \pi\) radians
• E) \(\frac { 1 } { 5 } \pi\) radians

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Definitions:

Measure Variability

The extent to which data points in a set diverge from the average value, indicating the spread or dispersion in the data.

Interval Scales

A type of scale used in measurement that involves numerical values where the intervals between values are interpretable, but there's no true zero point.

Variable

A variable is any characteristic, number, or quantity that can be measured or counted.

Central Tendency

A statistical measure that identifies a single value as representative of an entire distribution of data, often through the mean, median, or mode.