How to Calculate Volume

Learn the general approach to calculating the volume of common geometric shapes with clear steps and parameter definitions.

  1. Identify the shape and the correct formula. For example:
    • Cylinder: V = π × r² × h
    • Cone: V = (1/3) × π × r² × h
    • Sphere: V = (4/3) × π × r³
    • Cuboid: V = l × w × h
  2. Measure parameters with consistent units (metric or imperial). Keep radius/length/height in the same unit.
  3. Substitute values into the formula. Keep enough decimal places for π and intermediate results if needed.
  4. Compute and round the result to a sensible precision. Provide the unit cubed (e.g., cm³, m³, in³, ft³).
  5. Validate: sanity check against approximate bounds or compare with a similar shape’s volume.