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.
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