Vertical Cylinder Volume Calculator
Vertical cylinder volume at any liquid level uses V fill = pi r squared fill depth. For a tank with radius 2 m, total height 6 m, and 3 m fill depth, current liquid volume is 37.699 m3 (37,699.11 litres) out of 75.398 m3 total capacity. Enter your tank dimensions and liquid depth below.
Calculator
Vertical tank: fill level animates on calculate
Standing cylinder dipstick and level tracking
This tool computes full capacity and partial fill volume for upright tanks. It calculates liquid volume from current fill depth.
Vertical height and liquid depth equations
For full capacity, volume is V = pi r squared H. For partial fill, volume is V = pi r squared h_fill, where h_fill is liquid depth.
Frequently Asked Questions
How do you calculate the volume of a vertical cylinder?
If you are measuring a vertical cylinder that is 100% full, the standard formula applies: Volume = Pi × radius² × total height.
How do I calculate a partially filled vertical tank?
To find the partial volume, simply replace the 'total tank height' in the formula with the 'current height of the liquid'. Because the walls are straight, the core math remains identical.
What is the difference between a vertical and horizontal tank?
A vertical tank stands upright on its flat circular base. A horizontal tank lays flat along its curved rounded side, meaning the geometry changes drastically as it fills from bottom to top.
How do you calculate tank capacity in gallons?
First calculate the total space in cubic inches. Once you have the total cubic inches, divide that number precisely by 231 to secure your total US fluid gallon capacity.
Do I measure the inside or outside of the tank?
To calculate accurate fluid capacity, you must measure the internal 'inner diameter' of the tank to account for the physical thickness of the steel or plastic walls.
How do you calculate the volume of a partially filled vertical cylinder?
For a vertical partially filled cylinder, the calculation uses the liquid fill depth: V = π × r² × d, where d is the depth of the liquid instead of the full height. For example, if a vertical tank has a radius of 2 meters and a liquid depth of 3 meters: V = π × 2² × 3 = π × 4 × 3 = 37.70 m³ (37,699.11 litres).