Mathematics

The area of cross-section of a pipe is 3.5 cm² and water is flowing out of pipe at the rate of 40 cm/s. How much water is delivered by the pipe in one minute?

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It is given that

Area of cross-section of pipe = 3.5 cm²

Speed of water = 40 cm/s

Length of water column in 1 sec = 40 cm

We know that,

Volume of water flowing in 1 second = Area of cross section × length

= 3.5 × 40

= 140 cm³.

So, the volume of water flowing in 1 minute i.e., 60 sec = 140 × 60 = 8400 cm³.

1 cm³ = $\dfrac{1}{1000}$ litre

∴ 8400 cm³ = $8400 \times \dfrac{1}{1000}$ = 8.4 litres.

Hence, 8.4 litres of water is delivered by the pipe in one minute.

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