A water tank has the shape of a rectangular prism of base 50 cm2. This tank is being filled at the rate of 12 liters per minutes. Find the rate at which the height of the water in the water tank increases; express your answer in millimeters per second.

4 answers

12 l/min = 200 ml/s = 200 cm^3/s

since the area of the base is 50cm^2, the height is changing at

200 cm^3/s / 50cm^2 = 4 cm/s = 40 mm/s
12 l/min = 200 ml/s = 200 cm^3/s

since the area of the base is 50cm^2, the height is changing at

200 cm^3/s / 50cm^2 = 4 cm/s = 40 mm/s
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40mm/s