Question

From a tap of inner radius 0.75 cm, water flows atr the rate of 7 m per second. Find the volume in litres of water delivered by the pipe in one hour.

Answer 1

4450.95 liters of water delivered by the pipe in one hour

Solution:

Given that,

Inner radius of tap = 0.75 cm

Find the area of cross section of pipe

$Area = \pi r^2\\\\Area = 3.14 \times 0.75^2\\\\Area = 1.76625\ cm^2$

Rate of flow of water = 7 m per second

1 m = 100 cm

7 m = 700 cm

1 hour = 3600 seconds

Rate of flow of water in 1 hour = $700 \times 3600$

Find the volume in litres of water delivered by the pipe in one hour

$\rightarrow 1.76625 \times 700 \times 3600 = 4450950\ cm^3$

Convert to liters

$1\ cm^3 = 0.001\ liter\\\\4450950\ cm^3 = 4450950 \times 0.001 = 4450.95\ liter$

Thus 4450.95 liters of water delivered by the pipe in one hour

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