A water hose 2 cm in diameter is used to fill a 20 litre bucket. If it takes 1 minute to fill the bucket, then the speed v at which the water leaves the hose is,

# A water hose 2 cm in diameter is used to fill a 20 litre bucket. If it takes 1 minute to fill the bucket, then the speed v at which the water leaves the hose is,

1. A

150 cm/s

2. B

70 cm/s

3. C

100 cm/s

4. D

106 cm/s

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### Solution:

Given,

Volume = 20L

time = 1 minute = 60sec

diameter d = 2 cm = 0.02m

We know that

Volume rate of flow

$\frac{\mathrm{volume}}{\mathrm{time}}=\frac{20×{10}^{-3}}{60}=\frac{{10}^{-3}}{3}{\mathrm{m}}^{3}{\mathrm{s}}^{-1}$

Hence the correct answer is 106 cm/s.

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