TUTORIALS
How to calculate circular water tank capacity?
It is requested to choose an appropriate size for a circular water tank to collect 20000 litres water for a residential property. Take into consideration that tank depth must not be over 2 meters.
Experiment 1: In case depth = 0.5 m in that case diameter =?
Experiment 2: In case depth = 1 m in that case diameter =?
Experiment 3: In case depth = 1.5 m in that case diameter =?
Experiment 4: In case depth = 2 m in that case diameter =?
Tank capacity = 20000 litres of water
Overall tank capacity = 20000/1000 = 20 m3 [as 1 m3 is equal to 1000 litres]
Tank volume = Area of base x tank height or depth
20 m3 = πD2/4 x d
In case depth = 0.5 m
20 m3 = πD2/4 x 0.5 m = 20 m3 = 0.393(D)2
20 m3/0.393 = 0.393(D)2/0.393
50.90 = D2
√50.90 = square root ((D)2)
D = 7 meters
In case depth = 1 m in that case diameter = 5 meters
In case depth = 1.5 m in that case diameter = 4.12 meters
In case depth = 2 m in that case diameter = 3.56 meters
Appropriate depth and height are in Experiment 3
Hence, depth = 1.5 m and diameter = 4.12 meters are preferred for final design
Watch the following video to learn the complete process.
Lecturer: SL Khan