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How to calculate the water holding capacity of capsule tank?/ Calculating the volume of capsule tank./Capsule shape volume calculation.

Let us consider a hemispherical capsule tank as shown below.



Another name for such shapes is the spherocylindrical water tank.

The formula for the volume calculation 

  V = [πr2 L + (4π r3 ÷3)]

      =  [π r2  × {L + (4 r ÷3)}]


Let us redraw the capsule tank with dimensions for calculation purposes.



Given data:

Length = L = 2.5m.

Diameter = d = 1m.


Volume calculation:

Radius r = [ d ÷ 2]

              = [ 1m. ÷ 2]

             r = 0.5m.


The volume of the capsule tank

V =  [π r2  × { L + (4 r ÷3)}]

     = [3.142 × 0.52  × { 2.5m + (4× 0.5m.  ÷3)}]

     = [0.7855 × { 2.5m. + 0.667m}]

     = [0.7855 × 3.167m]

     = 2.487 cum.


As you know, 1 cum = 1000 liter 

So, the capacity of the capsule water tank in liters

= [2.487 cum × 1000]

2487 liters.


The capacity of the capsule water tank in US gallons

  = [2487 liters ÷ 3.785 ]

   ( As 1US gallon = 3.785 liters )

  = 657.07 gallons.


To go through the articles on Estimation & calculation in civil engineering, click here.

Thank you for going through these calculation steps. Have a good day 😄.
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