Solve the Problem $B$ And the Height $h$ Of a Pyramid Are Related to the Pyramid's Volume

question 420

Multiple Choice

Solve the problem.
-The area of the base $B$ and the height $h$ of a pyramid are related to the pyramid's volume $V$ by the formula $\mathrm { V } = \frac { 1 } { 3 } \mathrm { Bh }$ . How is $\mathrm { dV } / \mathrm { dt }$ related to $\mathrm { dh } / \mathrm { d }$ t if $\mathrm { B }$ is constant?

• A) \(\frac { \mathrm { dV } } { \mathrm { dt } } = \frac { \mathrm { B } } { 3 } \frac { \mathrm { dh } } { \mathrm { dt } }\)
• B) \(\frac { d V } { d t } = B \frac { d h } { d t }\)
• C) \(\frac { \mathrm { dV } } { \mathrm { dt } } = \frac { \mathrm { dh } } { \mathrm { dt } }\)
• D) \(\frac { \mathrm { dV } } { \mathrm { dt } } = \frac { 1 } { 3 } \frac { \mathrm { dh } } { \mathrm { dt } }\)

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Definitions:

Interdependent

A state in which two or more entities rely on each other for support, survival, or functioning.

Innate

Describes qualities or abilities present from birth, not acquired later.

Universal

A concept or condition that applies to all members of a given category or thing, without exceptions.

Linguistic-Relativity Hypothesis

A theory suggesting that the structure of a language affects its speaker's worldview or cognition.