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:

Dizygotic Twins

Also known as fraternal twins, these are siblings born from two separate eggs fertilized by two different sperm, resulting in genetically distinct individuals born at the same time.

Fraternal Twins

Twins that develop from two separate eggs fertilized by two different sperm, resulting in siblings that are genetically unique from each other.

Correlation

A statistical measure that describes the extent to which two variables change together, but not necessarily indicating that one causes the other.

Intelligence

The overall capacity of an individual to understand complex ideas, adapt effectively to the environment, learn from experience, and engage in various forms of reasoning.