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Solve the Problem BB And the Height hh Of a Pyramid Are Related to the Pyramid's Volume

Question 420

Multiple Choice

Solve the problem.
-The area of the base BB and the height hh of a pyramid are related to the pyramid's volume VV by the formula V=13Bh\mathrm { V } = \frac { 1 } { 3 } \mathrm { Bh } . How is dV/dt\mathrm { dV } / \mathrm { dt } related to dh/d\mathrm { dh } / \mathrm { d } t if B\mathrm { B } is constant?


A) dVdt=B3dhdt\frac { \mathrm { dV } } { \mathrm { dt } } = \frac { \mathrm { B } } { 3 } \frac { \mathrm { dh } } { \mathrm { dt } }
B) dVdt=Bdhdt\frac { d V } { d t } = B \frac { d h } { d t }
C) dVdt=dhdt\frac { \mathrm { dV } } { \mathrm { dt } } = \frac { \mathrm { dh } } { \mathrm { dt } }
D) dVdt=13dhdt\frac { \mathrm { dV } } { \mathrm { dt } } = \frac { 1 } { 3 } \frac { \mathrm { dh } } { \mathrm { dt } }

Correct Answer:

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