Question

Through a cylindrical pipe of internal radius $7cm$, water flows out at the rate of $5cm/sec$. Calculate the volume of water (in litres) discharged through pipe in half an hour.

• A. $1386$ litres
• B. $186$ litres
• C. $136$ litres
• D. None of these

Answer 1

Answer: (A)

$1386$ litres

We have,

$r=7cm$

Water flows rate $=5cm/sec$

We know that the volume of the cylinder

$=\pi r^{2}h$

So, the volume of the water discharged through pipe in $30min$

$=\frac{22}{7}\times 7^2\times 5\times \left(30min\right)$

$=22\times 7\times 5\times (30\times 60sec)$

$=22\times 7\times 5\times (30\times 60sec)$

$=1386000c{m}^3$

$=1386litre$ $\because 1000c{m}^3=1litre$

Hence, this is the answer.