Question

Water is discharged from a pipe of cross-section are 3.2 $c{m}^2$ at the speed of 5m/s, then calculate the volume of water discharged in $c{m}^3$ per sec.

Answer 1

The pipe's cross -section $=\pi r^2=3.2c{m}^2$

water discharged at the speed of $5$m/s$=500$ cm in $1$ second

So, height $=500cm$

So, volume of water discharged in 1 sec is,

$V=\pi r^{2}h$

$V=3.2\times 500$

$V=1600c{m}^3/sec$