In Exercises 4954, use Eq. (4) and Torricellis Law [Eq. (5)]. A tank has the shape of

Chapter 9, Problem 52

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In Exercises 4954, use Eq. (4) and Torricellis Law [Eq. (5)]. A tank has the shape of the parabola y = x2, revolved around the y-axis. Water leaks from a hole of area B = 0.0005 m2 at the bottom of the tank. Let y(t) be the water level at time t. How long does it take for the tank to empty if it is initially filled to height y0 = 1 m?

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