Question

A culindrical water tank of diameter 1.4 m and height 2.1 m is being fed by a pipe of diameter 3.5 cm through which water flows at the rate of 2 metre per second. In how much time the tank will be filled?

Answer 1

Answer:

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Step-by-step explanation:

Answer 2

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$\bf\underline\blue{Step-by-step explanation:}$

Given  

A cylindrical water tank of diameter 1.4 m and height 2.1 m is being fed by a pipe of diameter 3.5 cm through which water flows at the rate of 2 m   per second calculate the time it takes to fill the tank

Given diameter = 1.4 m

Radius = 1.4 / 2 = 0.7 m  

Also h = 2.1 m

We know that volume of tank = π r^2 h

                                               = 22/7 x 0.7 x 0.7 x 2.1

Now dimensions of pipe will be

Diameter = 3.5 cm

Radius = D / 2

           = 3.5 / 2

           = 3.5 / 200 m

Height = 2 m

Now volume of water delivered in 1 sec will be π r^2 h

                                                                         = 22/7 x 3.5 / 200 x 3.5/200 x 2 m^3

When tank is filled let time be x.

Volume of tank = volume of water delivered in x sec

So 22/7 x 0.7 x 0.7 x 2.1 = 22/7 x 3.5 / 200 x 3.5/200 x 2 x x m^3

So x = 0.7 x 0.7 x 2.1 x 200 x 200 / 3.5 x 3.5 x 2

        = 1680 sec

       = 1680 / 60

        = 28 min

So the tank will be fully filled in 28 min.

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