Choose the One Alternative That Best Completes the Statement or Answers

question 91

Multiple Choice

Choose the one alternative that best completes the statement or answers the question.
Solve the problem.
-The volume of a right cylindrical cone of height $6 \mathrm {~cm}$ and radius $\mathrm { r } \mathrm { cm }$ is $\mathrm { V } ( \mathrm { r } ) = 2 \pi \mathrm { r } ^ { 2 } \mathrm { cubic }$ centimeters (cm) . Find the instantaneous rate of change of the volume with respect to the radius $\mathrm { r } w h e n \mathrm { r } = 4 \mathrm {~cm}$ .

• A) \(16 \pi \mathrm { cm } ^ { 3 } / \mathrm { cm }\)
• B) \(16 \mathrm {~cm} ^ { 3 } / \mathrm { cm }\)
• C) \(4 \pi \mathrm { cm } ^ { 3 } / \mathrm { cm }\)
• D) \(32 \pi \mathrm { cm } ^ { 3 } / \mathrm { cm }\)

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Definitions:

Global Minimum Variance Portfolio

An investment portfolio strategy that seeks to minimize volatility by allocating assets in a way that produces the lowest possible variance.

Standard Deviations

A statistical measure that quantifies the dispersion or variance of a set of data points from their average, widely used in the finance sector to gauge the volatility of investment returns.

Systematic Risk

The overall market risk that cannot be diversified away by holding a wide range of asset classes.

Market Risk

The risk of losses in investments due to factors that affect the overall performance of the financial markets.