Fundamentals of Physics Extended (10th Edition)

Published by Wiley
ISBN 10: 1-11823-072-8
ISBN 13: 978-1-11823-072-5

Chapter 14 - Fluids - Problems - Page 409: 43b

Answer

$V = 5.102~m^3$

Work Step by Step

The buoyant force on the dinosaur model is equal to the weight of the water displaced by the model's volume. The mass of the displaced water is $0.63776~kg$ We can find the volume of the displaced water: $V = \frac{mass}{\rho}$ $V = \frac{0.63776~kg}{1000~kg/m^3}$ $V = 6.3776\times 10^{-4}~m^3$ The volume of the model is $~~6.3776\times 10^{-4}~m^3$ We can find the volume of the actual T. rex: $V = (6.3776\times 10^{-4}~m^3)(20)^3$ $V = 5.102~m^3$
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