Question

A cylindrical tank of height 1 m and cross section area a = 4000 cm

Answer 1

Answer:

area of cylinder

Step-by-step explanation:

4000=22/7×1

=0.0055

Answer 2

height = 0.8 m

Step-by-step explanation:

here , question :A cylindrical tank of height 1m and cross section area A=4000  is initially empty when it is under a tap of cross sectional area 1cm   . Water starts flowing from the tap at t=0, with a speed =2m/s. There is a small hole in the base of the tank of cross-sectional area 0.5cm   . The variation of height of water in tank (in meters) with time t is best depicted by

solution :

water is rises till the rate of the water fall out is equal to the rate of flow of water inside

the water rises exponentially

let the height be h

thus ,

$\sqrt{2gh(0.5)}= 2\times 1 \\\\2gh \times 0.25 = 4 \\\\h = \frac{4}{20\times 0.25}\\\\h = \frac{16}{20}\\\\h = 0.8 m$

We know the velocity of the water from the tap and the cross-sectional area of the tank. There is a rise in water level and as the water level rises the velocity of ef flux through the bottom hole also increases.

hence ,The height  is 0.8 m

#Learn more :

A closed cylindrical tank is height 15cm the radius of the Cross section is 7cm calculate the cured surface area of the tank and the volume of the tank use 22/7

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