Question

Water flows through a cylindrical pipe of internal radius $3.5$cm at $5$ m\second.Calculate the volume of water in litres discharged by the pipe in one minute.

Answer 1

Radius $=r=3.5$cm$=\frac{35}{10}$cm

Speed $h=5m/s=500cm/sec$

Volume of flowing water in $1$ second$=\pi r^{2}h$cu.units

$=\frac{22}{7}\times \frac{35}{10}\times \frac{35}{10}\times 500$

Volume of flowing water in $60$ second$=\pi r^{2}h$cu.units

$=\frac{22}{7}\times \frac{35}{10}\times \frac{35}{10}\times 500\times 60$

$=1155000$cu.cm

$=\frac{1155000}{1000}=1155$litres.

$\therefore$ Volume of flowing water in $60$ second is $1155$litres.