Question

A water tank built by municipality of a town to supply water to its 25000 inhabitants at 125 litre per day per person if tank is 40m long 31.25m broad the water tank when full can supply water for 2 days to the inhabitants find depth of tank

Answer 1

The depth of the water tank is 5m.

Let us consider the depth  of the tank to be h m.

Its length is 40m and breadth is 31.25m.

So, the volume of the tank is = (40*31.25*h) m³

Again, the total capacity of tank for 25000 inhabitants at 125L per day per person and for 2 days is = (25000*125*2)L

= 6250000 litres  

= 6250 m³                          [As 1m³ = 1000L]

Equating both the volumes, we get:

So,  (40*31.25*h) = 6250

⇒ 1250h  =  6250

⇒  h =   6250/1250 = 5

So, h = 5 m

Thus, depth of tank = 5m

Answer 2

height of tank required is       $h=5m$

Step-by-step explanation:

Given,

Dimension of tank        $D\left ( 40m,31.25m,h \right )$

Let height of tank is= h  

Inhabitants=25000

 125 $litres$ per day per person

For two days

Capacity of tank

           $=25000\times 125\times 2=6250000 litres$

             $=6250000/1000=6250m^{3}$            $\left ( 1m^{3} =1000 litres\right )$    

Volume of tank =Capacity of required water

           $1250\times h=6250$

           $h=6250/1250$

         $h=5m$

Height of tank required is $5m$