Question

How many litres of water flow out of a pipe having an area of cross-section of 5 cm² in one minute, if the speed of water in the pipe is 30 cm/sec?

Answer 1

9 litres of water flow out of a pipe having an area of cross-section of 5 cm² in one minute.

Step-by-step explanation:

• Given data

        Cross - sectional area of pipe$\mathbf{=5 \ cm^{2}}$

        Speed of water$\mathbf{(v)=30 \ \frac{cm}{s}}$

        Time (t) = 1 min = 60 s

• Let Distance travel by water in one minute = L

        L = Speed×Time

         L=30×60=1800 cm

• Volume of water flow through pipe (V) = Area× Length

         Volume of water flow through pipe (V) = 5×1800$\mathbf{=9000 \ cm^{3}}$

• We know that

        $\mathbf{1 \ cm^{3}=\frac{1}{1000} \ Litre}$

        So

       Volume of water flow through pipe$\mathbf{=\frac{9000}{1000} \ Litre=9 \ Litre}$