From a tap of inner radius $0.75\ cm$, water flows at the rate of $7\ m$ per second. Find the volume in litres of water delivered by the pipe in one hour.
Given:
From a tap of inner radius $0.75\ cm$, water flows at the rate of $7\ m$ per second.
To do:
We have to find the volume in litres of water delivered by the pipe in one hour.
Solution:
Inner radius of the tap $= 0.75\ cm$
Speed of the flow of water $= 7\ m/s$
Time $= 1$ hour
Therefore,
Length of flow of water $(h) = 7 \times 60 \times 60\ m$
$= 25200\ m$
Volume of water delivered by the pipe in one hour $= \pi r^2h$
$=\frac{22}{7} \times \frac{0.75}{100} \times \frac{0.75}{100} \times 25200$
$=\frac{22}{7} \times \frac{3}{400} \times \frac{3}{400} \times 25200$
$=\frac{44550}{10000}$
$=4.455 \mathrm{~m}^{3}$
$=4.455 \times 1000\ l$
$=4455$ litres
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