Enter the vessel radius (m) and the vessel length (m) into the Vessel Volume Calculator. The calculator will evaluate and display the Vessel Volume. 

Vessel Volume Formula

The following formula is used to calculate the Vessel Volume. 

VV = 3.14159*VR^2*VL
  • Where VV is the Vessel Volume (m^3)
  • VR is the vessel radius (m) 
  • VL is the vessel length (m) 

To calculate the vessel volume, square the radius, multiply by the length, then finally multiply by pi.

How to Calculate Vessel Volume?

The following example problems outline how to calculate Vessel Volume.

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 = 3.14159*VR^2*VL

The values given above are inserted into the equation below:

VV = 3.14159*8^2*9 = 1809.55 (m^3)


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 = 3.14159*10^2*11 = 3455.749 (m^3)