Calculate the rate at which the water level change

Reference no: EM131008144

The conical watering pail has a grid of holes. Water flows out through the holes at a rate of kA m³/min, where k is a constant and A is the surface area of the part of the cone in contact with the water. This surface area is A = πr √(h² + r²) and the volume is v = 1/3 πr²h. Calculate the rate dh/dt at which the water level change at h = 0.18 m, assuming that k = 0.25 m.

2450_The conical watering pail.png

Reference no: EM131008144

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