Question

A cylindrical water tank with radius of base 70 CM and height 2M is to be filled with a pipe with Internal diameter 3.5CM and speed of water in it is 3M per second. Find the time required to fill the tank​

Answer 1

Answer:

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 minutes.

Answer 2

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