Answer
$15000\dfrac {cm^{3}}{s}$
Work Step by Step
$V=x^{3}\Rightarrow \dfrac {dV}{dt}=3x^{2}\dfrac {dx}{dt}=3\times \left( 50cm\right) ^{2}\times 2\dfrac {cm}{s}=15000\dfrac {cm^{3}}{s}$
Calculus: Early Transcendentals (2nd Edition)
by Briggs, Bill L.; Cochran, Lyle; Gillett, Bernard
Published by
Pearson
ISBN 10:
0321947347
ISBN 13:
978-0-32194-734-5
Chapter 3 - Derivatives - 3.11 Related Rates - 3.11 Execises - Page 227: 10
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