Calculus (3rd Edition)

Published by W. H. Freeman
ISBN 10: 1464125260
ISBN 13: 978-1-46412-526-3

Chapter 6 - Applications of the Integral - 6.2 Setting Up Integrals: Volume, Density, Average Value - Preliminary Questions - Page 296: 3

Answer

$$Q=\text{cross sectional area} \times \text{ velocity}=\pi R^2v.$$

Work Step by Step

The flow rate $Q$ is the volume per unit time of fluid passing through a tube. That is. $$Q=\text{cross sectional area} \times \text{ velocity}=\pi R^2v.$$
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