Question

Water is flowing at a rate of 15 km/ h through a pipe of diameter 14 cm into a rectangular tank which is 50 m long and 44m wide find the time in which the level of water in the tank will rise by 21cm

Answer 1

$\underline{\underline{\huge\mathfrak{Given:-}}}$

In cylinder,

r=7cm=0.7m

l=15km=15000m

In tank,

l=50m

b=44m

h=0.21m

$\underline{\underline{\huge\mathfrak{Solution:-}}}$

Vol.of water in tank=l×b×h

=50*44*0.21

=462m³

Height of cylindrical pipe

=Vol. / πr²

=462/(0.07)²(22/7)

=462/0.0154

=30000m

Time

= 30000/15000

= 2 hours

$<Marquee>$]

In 2 hours the level of water in the tank will rise by 21cm

Answer 2

In cylinder,

r=7cm=0.7m

l=15km

 =15000m

In tank,

l=50m

b=44m

h=0.21m

Vol.of water in tank=lbh

                               =50*44*0.21

                               =462m³

Height of cylindrical pipe=Vol. / πr²

                                      =462/(0.07)²(22/7)

                                      =462/0.0154

                                      =30000m

Time = 30000/15000

         = 2 hours

Hope that this answer will help you ✌️