If I need 500 ltr tank (cylindrical) how do I calculate H value and R value ?

  1. profile image53
    subhash7posted 6 years ago

    If I need 500 ltr tank (cylindrical) how do I calculate H value and R value ?

    can you please provide answer step wise
    i know that formula V=pi*r*r*h

  2. academysigma profile image60
    academysigmaposted 6 years ago

    Because there are two variables r and h, there's going to be infinite combinations of r and h which will yield V = 500000.

    But you can solve either for 'r' or 'h' algebraically.
    Firstly note that 500 litres = 500000 cm³ = V
    I chose to solve for 'h' here
    (so the dependent variable is h, and independent variable is r)
    h = 500000 / ( Pi * r² )

    Then choose any positive value of r, say
    r = 100, then h = 500000 / ( Pi * 100² )
    = 15.9155 cm

    You can plot a graph to show the combinations of r and h which yields V = 500000

  3. ratnaveera profile image70
    ratnaveeraposted 6 years ago

    If you need to find out the height and radius of a cylindrical tank with the capacity of 500 liters, you can get them as follows

    Volume of any cylindrical tank = 3.14*r*r*h

    Say the height is thrice the radius of the tank and now the formula can be written as

    3.14*r*r*3*r

    = 3.14*3*r^3

    =500000 cc

    r^3 = 500000/(3.14*3)

    r^3 = 53078.55

    r =  37.58

    Now the radius of the tank that holds 500 liters is 37.58 cm and height is 112.74 cm

 
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