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A cylinderical tank of height 0.4 m is o...

A cylinderical tank of height 0.4 m is open at the top and has a diameter 0.16m. Water is filled in it up to height of 0.16 m. Find the time taken to empty the tank through a hole of radius `5 xx 10^(-3)m` in its bottom.

Text Solution

AI Generated Solution

To find the time taken to empty the cylindrical tank through a hole at the bottom, we can follow these steps: ### Step 1: Determine the parameters - Height of the tank (H) = 0.4 m - Diameter of the tank (D) = 0.16 m - Radius of the tank (R) = D/2 = 0.08 m - Height of water in the tank (h) = 0.16 m - Radius of the hole (r) = 5 x 10^(-3) m ...
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Knowledge Check

  • A cylindrical tank of height H is open at the top end and it has a radius r . Water is filled in it up to a height of h . The time taken to empty the tank through a hole of radius r' in its bottom is

    A
    `sqrt((2h)/g)(r^(2))/r^('2)`
    B
    `sqrt((2H)/g)(r^(2))/(r^('2))`
    C
    `sqrt(h)H`
    D
    none of these

  • A Water tank is 11m lengthy, 10m wich and 9 m high. The water has been filled i it up to the height of 6 m. How much parts of the tank is empty ?

    A
    `1/4`
    B
    `1/3`
    C
    `1/6`
    D
    `2/3`

  • A right elliptical cylinder full of petrol has its widest elliptical side 2.4 m and the shortest 1.6 m. Its height is 7 m. Find the time required to empty half the tank through a hole of diameter 4 cm if the rate of flow of petrol is 120 m/min

    A
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    B
    90 min
    C
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    D
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