Volume

• How to Calculate an Ellipsoid’s Volume with a Triple Integral
  Set up a triple integral for an ellipsoid, use scaled spherical coordinates and the Jacobian, and derive its volume from the semiaxes.
• How to Calculate an Ellipsoid’s Volume in Cylindrical Coordinates
  Set the ellipsoid's vertical bounds in cylindrical coordinates, include the Jacobian r, and integrate to obtain 4πabc/3 for semiaxes a, b, and c.
• How to Calculate the Partial Volume of a Capsule Tank
  For a horizontal capsule tank with radius r and straight length L, calculate liquid volume at depth h using circular-segment and spherical-cap formulas.
• How to Calculate Volume in Cubic Metres (m³)
  To calculate volume in cubic metres, use the formula for the object's shape, convert every length to metres, and multiply or apply the matching formula.
• How to Find the Volume of a Tetrahedron
  Use one-third of a triangular base’s area times its perpendicular height, or a determinant of four vertex coordinates, to find a tetrahedron’s volume.