The Volume of a Spherical Cancerous Tumor Is Given by the Function

question 192

Multiple Choice

The volume of a spherical cancerous tumor is given by the function where r is the radius of the tumor in centimeters.By what factor is the volume of the tumor increased if its radius is quintuple?

• A)78,125
• B)625
• C)125
• D)5
• E)25

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Definitions:

Marginal Rate of Substitution

The rate at which a consumer is willing to give up one good in exchange for another good while maintaining the same level of utility or satisfaction.

Perfect Substitutes

Two goods for which consumers are completely indifferent as to which to consume, meaning the consumption of one good can fully replace consumption of the other.

Perfect Complements

Goods that are often consumed together in fixed proportions, such that demand for one increases demand for the other.

Cardinal Utility Functions

Utilize numerical values to represent the level of satisfaction or utility that consumers derive from different bundles of goods and services.