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Selvis house has an overhead tank in the...

Selvis house has an overhead tank in the shape of a cylinder. This is filled by pumping water from a sump (an underground tank) which is in the shape of a cuboid. The sump has dimensions `1. 57 mxx1. 44 mxx95 c m`. The overhead tank has its radius 60 cm and height 95 cm. Find the height of the water left in the underground tank after the overhead tank has been completely filled with water from underground tank which had been full. Compare the capacity of both the tanks. (take π = 22/7)

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AI Generated Solution

To solve the problem step by step, we will first calculate the volumes of both the underground tank (sump) and the overhead tank, and then determine the height of the water left in the sump after filling the overhead tank. ### Step 1: Calculate the volume of the sump (cuboid) The volume \( V \) of a cuboid is given by the formula: \[ V = \text{length} \times \text{breadth} \times \text{height} \] ...
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Knowledge Check

  • Selvi is setting up a water purifier system in her house which includes setting up an overhead tank in the shape of a right circular cylinder. This is filled by pumping water from a sump (underground tank) which is in the shape of a cuboid. The underground water tank (sump) is a sturdy single moulded piece built to with stand underground pressure and is available in the storage capacity of 2000 L. These, along with hassle-free installation and minimum maintenance needs make it the ideal water storage solution. Dimensions (sump): 1.57 m xx 1.44 m xx 95 cm. Dimensions (overhead tank): Radius 60 cm and Height 95 cm Water flow conditions at the required overload capacity should be checked for critical pressure drop to ensure that valves are adequately sized. On the basis of the above information, answer the following qeuestions: The ratio of the capacity of the sump to the capacity of the overhead tank is

    A
    `1:2`
    B
    `2:1`
    C
    `1:4`
    D
    `4:1`

  • Selvi is setting up a water purifier system in her house which includes setting up an overhead tank in the shape of a right circular cylinder. This is filled by pumping water from a sump (underground tank) which is in the shape of a cuboid. The underground water tank (sump) is a sturdy single moulded piece built to with stand underground pressure and is available in the storage capacity of 2000 L. These, along with hassle-free installation and minimum maintenance needs make it the ideal water storage solution. Dimensions (sump): 1.57 m xx 1.44 m xx 95 cm. Dimensions (overhead tank): Radius 60 cm and Height 95 cm Water flow conditions at the required overload capacity should be checked for critical pressure drop to ensure that valves are adequately sized. On the basis of the above information, answer the following qeuestions: If the amount of water in the sump, at an instant, is 1500 litres, then the water level in the sump at that instant is

    A
    66.3 cm
    B
    69.3 cm
    C
    72.4 cm
    D
    60.9 cm

  • Selvi is setting up a water purifier system in her house which includes setting up an overhead tank in the shape of a right circular cylinder. This is filled by pumping water from a sump (underground tank) which is in the shape of a cuboid. The underground water tank (sump) is a sturdy single moulded piece built to with stand underground pressure and is available in the storage capacity of 2000 L. These, along with hassle-free installation and minimum maintenance needs make it the ideal water storage solution. Dimensions (sump): 1.57 m xx 1.44 m xx 95 cm. Dimensions (overhead tank): Radius 60 cm and Height 95 cm Water flow conditions at the required overload capacity should be checked for critical pressure drop to ensure that valves are adequately sized. On the basis of the above information, answer the following qeuestions: If overhead tank need to be painted to save it from corrosion, how much area need to be painted?

    A
    2.92 sq m
    B
    1.13 sq m
    C
    4.71 sq m
    D
    3.58 sq m

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    Selvi is setting up a water purifier system in her house which includes setting up an overhead tank in the shape of a right circular cylinder. This is filled by pumping water from a sump (underground tank) which is in the shape of a cuboid. The underground water tank (sump) is a sturdy single moulded piece built to with stand underground pressure and is available in the storage capacity of 2000 L. These, along with hassle-free installation and minimum maintenance needs make it the ideal water storage solution. Dimensions (sump): 1.57 m xx 1.44 m xx 95 cm. Dimensions (overhead tank): Radius 60 cm and Height 95 cm Water flow conditions at the required overload capacity should be checked for critical pressure drop to ensure that valves are adequately sized. The capacity (in litres) of the overhead tank is

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