Tank Volume Calculator

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Total volume of a cylinder shaped tank is the area, A, of the circular end times the length, l. A = πr2 where r is the radius which is equal to 1/2 the diameter or d/2. Therefore: V(tank) = πr2l

Calculate the filled volume of a horizontal cylinder tank by first finding the area, A, of a circular segment and multiplying it by the length, l.

circular segment

Area of the circular segment, the grey shaded area, is A = (1/2)r2(θ - sinθ) where θ = 2*arccos(m/r) and θ is in radians. Therefore, V(segment) = (1/2)r2(θ - sinθ)l. If the fill height f is less than 1/2 of d then we use the segment created from the filled height and V(fill) = V(segment). However, if the fill height f is greater than 1/2 of d then we use the segment that is created by the empty portion of the tank and subtract it from the total volume to get the filled volume; V(fill) = V(tank) - V(segment).

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