Water flows into the bathtub through a tap with a cross section of 1.5cm2 at a speed of 12m / s

Water flows into the bathtub through a tap with a cross section of 1.5cm2 at a speed of 12m / s, determine the time after which the bathtub will be completely filled. The volume of the bathtub is 1m3.

Let’s find the volume of water entering through the faucet per second in cubic meters, recording the cross-sectional area of the faucet in square meters.

1.5 cm2 = 0.00015 m3.

0.00015 * 12 = 0.0018 m3 / s.

Let’s find the time of filling the bath in minutes.

1 / 0.0018 = 1: 18/10000 = 10000/18 seconds ≈ 555.56 s ≈ 9.3 minutes.

Answer: After about 9.3 minutes, the bath will fill with water.



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