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Solve the Problem ss And the Height hh By the Formula V=13 s2 h.\mathrm { V } = \frac { 1 } { 3 } \mathrm {~s} ^ { 2 } \mathrm {~h} .

Question 495

Multiple Choice

Solve the problem.
-The volume of a square pyramid is related to the length of a side of the base ss and the height hh by the formula V=13 s2 h.\mathrm { V } = \frac { 1 } { 3 } \mathrm {~s} ^ { 2 } \mathrm {~h} . How is dV/dt\mathrm { dV } / \mathrm { dt } related to ds/dt\mathrm { ds } / \mathrm { dt } if h\mathrm { h } is constant?


A) dVdt=2 s3dsdt\frac { \mathrm { dV } } { \mathrm { dt } } = \frac { 2 \mathrm {~s} } { 3 } \frac { \mathrm { ds } } { \mathrm { dt } }
B) dVdt=2hs3dsdt\frac { d V } { d t } = \frac { 2 h s } { 3 } \frac { d s } { d t }
C) dVdt=s23dsdt\frac { d V } { d t } = \frac { s ^ { 2 } } { 3 } \frac { d s } { d t }
D) dVdt=h3dsdt\frac { \mathrm { dV } } { \mathrm { dt } } = \frac { \mathrm { h } } { 3 } \frac { \mathrm { ds } } { \mathrm { dt } }

Correct Answer:

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