Question

Water flows at the rate of $15km$ per hr through a pipe of a diameter $14cm$ into a rectangle tank which is $50m$ long and $44m$ wide, Find the time in which th level of water in the tank will rise by $21cm$

Answer 1

$\Rightarrow x^2+(y-x^2)=(x-y{)}^2+y^2$

Tank $l=50ml=44mh=21cm$

Volume $=llh$

$=50\times 44\times \frac{21}{100}=462m^3$

Rate of volume Inter $=\frac{\pi r^{2}h}{Time}$

$=\frac{22}{7}\times \frac{7}{100}\times \frac{7}{100}\times 15,000$ per hour

$=231m^3$ per hour

$\therefore$ Time $=462/231=2$ hour