Question: A cylindrical storage tank is 2 m tall and 1 m in diameter. A low-level alarm is activated when the liquid level decreases to 0.25

A cylindrical storage tank is 2 m tall and 1 m in diameter. A low-level alarm is activated when the liquid level decreases to 0.25 m. Suppose that the tank is initially half full when a slow leak develops near the bottom of the tank due to corrosion. The relationship between the liquid level hand the leakage flow rate q is

q = C √h

where q has units of m³/min, his in m and C = 0.065 m^2.5/min.
(a) If the leak begins at 5 AM, when will the alarm sound?
(b) How much liquid has leaked out when the alarm sounds?

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