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
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
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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