Use the differential equation for a leaking container, Eq. (3).

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?

Transcribed Image Text:

dy dt B√ √2gy A(y)