Calculate the full or partial volume of a horizontal or vertical vessel with flat, 2:1 ellipsoidal or hemispherical heads, or find the level for a volume.

Use internal dimensions and the straight shell length, excluding both heads. Heads are ideal shapes; fittings and straight flanges are excluded.

Leave empty for the full vessel volume.

Optional settings

Vessel Volume Formula

The following formula gives full capacity for a flat-ended cylindrical vessel. The calculator also includes partial fills and ideal ellipsoidal or hemispherical heads.

VV = ฯ€ ร— VRยฒ ร— VL
  • Where VV is the full flat-ended vessel volume (mยณ)
  • VR is the vessel radius (m) 
  • VL is the straight shell length (m) 

For flat ends, multiply ฯ€ by the squared radius and straight shell length. For two ideal 2:1 ellipsoidal heads, add 2ฯ€VRยณ/3; for two hemispherical heads, add 4ฯ€VRยณ/3. The calculator takes internal diameter, which is twice the radius. Use full liquid height for full capacity; partial volume depends on level and orientation.

How to Calculate Vessel Volume?

The following examples calculate full capacity with flat heads. Select Vessel volume (full or at a level), Flat heads, and Vertical orientation; enter twice the stated radius as diameter and the stated length, and leave the liquid level empty for full capacity.

Example Problem #1:

  1. First, determine the vessel radius (m).
    1. The vessel radius (m) is given as  8.
  2. Next, determine the vessel length (m).
    1. The vessel length (m) is provided as 9.
  3. Finally, calculate the Vessel Volume using the equation above: 

VV = ฯ€ ร— VRยฒ ร— VL

The values given above are inserted into the equation below:

VV = ฯ€ ร— 8ยฒ ร— 9 โ‰ˆ 1809.557368 mยณ

Example Problem #2: 

The variables needed for this problem are provided below:

vessel radius (m) = 10

vessel length (m) = 11

Entering these values and solving gives:

VV = ฯ€ ร— 10ยฒ ร— 11 โ‰ˆ 3455.751919 mยณ