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

1. 51

   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

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2. 58

   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

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3. 59

   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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