Question

The volume, in litres, of water discharged by the pipe in one minute.

Answer 1

Diameter of the cylindrical pipe $=$ $7$ cm

$\therefore$ Radius of pipe $r=3.5$ cm

$\therefore$ Area of cross section of cylindrical pipe $=$ $\pi r^2$

$=\pi (3.5{)}^2$

Rate of water flow $=$ $5$ m/s

$=$ $5\times 10$ cm/s

$=$ $500\times 60$ cm/min

$=$ $30000$ cm/min

Volume of water discharged per min $=$ $\pi (3.5{)}^2\times 30000c{m}^3$/min

$=$ $1155000c{m}^3$/min

$=$ $115000\times {10}^{-3}$ litre/min

$=$ $1155$ litre/min