Reactor Volume Calculator

Design teams size reactors using clear construction inputs. Choose shape, dimensions, and safety allowance easily. Get instant volume, then download a clean calculation sheet.

Pick the closest internal geometry.
Heads add volume beyond straight height.
Working = Total × (1 − headspace).
Design = Working × (1 + safety).
Reset
Units: m, cm, mm, ft, in Exports: CSV + PDF History: up to 10 runs

Example data table

Scenario Shape Inputs Total (m³) Working (m³) Design (m³)
Batch mixer Cylindrical D=1.2m, H=2.5m, flat, headspace 10%, safety 5% 2.8274 2.5447 2.6720
Process tank Rectangular L=3.0m, W=1.5m, H=2.0m, headspace 8%, safety 7% 9.0000 8.2800 8.8596
Storage vessel Spherical D=2.2m, headspace 12%, safety 5% 5.5753 4.9063 5.1516

Values shown are illustrative for planning only.

Formula used

  • Cylinder (flat ends): V = π × (D/2)² × H
  • Cylinder + hemispherical ends: V = barrel + (4/3)πr³ (two hemispheres)
  • Cylinder + 2:1 ellipsoidal ends: V = barrel + (πD³/12)
  • Rectangular: V = L × W × H
  • Sphere: V = (4/3)πr³
  • Conical frustum: V = (πH/3) × (R² + Rr + r²)
  • Working volume: Vwork = V × (1 − headspace/100)
  • Design volume: Vdesign = Vwork × (1 + safety/100)

How to use this calculator

  1. Select the reactor shape that matches your internal geometry.
  2. Enter dimensions and choose units for each field.
  3. Set headspace for freeboard, foam, and expansion allowance.
  4. Add a safety factor for design margin or future load.
  5. Press Calculate to view results above the form.
  6. Use CSV or PDF exports to share the calculation quickly.

Volume planning for foundation loads

A reactor’s filled mass drives slab, anchor, and lifting design. One cubic meter of water is about 1,000 kg. Many construction slurries run 1,100–1,300 kg/m³. If your design volume is 8.86 m³, the contained liquid can exceed 9.7–11.5 tonnes before adding steel, insulation, and platforms. Include access platforms, piping, and wind bracing loads in the same takeoff package.

Selecting geometry and field measurements

Field drawings often show outside dimensions, but volume needs inside clear dimensions. Subtract lining, corrosion allowance, and wall thickness before entering values. For a cylindrical shell, a 6 mm lining on a 1.2 m diameter reduces radius by 0.006 m, cutting barrel volume by roughly 0.11 m³ over 2.5 m height. On rectangular tanks, small thickness changes compound fast.

Headspace and operational freeboard

Headspace protects against foaming, thermal expansion, and surge. Many batch systems reserve 8–15% freeboard, while aerated or high-foam processes may need 20%+. This calculator converts total volume to working volume using Vwork = V × (1 − headspace). Example: 9.00 m³ total with 8% headspace yields 8.28 m³ working capacity. Keep enough vapor space for level sensors and safe overflow routing.

Safety factor and procurement sizing

Procurement decisions often target the design volume, not the nominal tank volume. A 5–10% safety factor supports uncertainty in internals, nozzle takeoffs, and future throughput. Using Vdesign = Vwork × (1 + safety), an 8.28 m³ working target with 7% safety becomes 8.86 m³, guiding pump curves, mixer sizing, and fill-time estimates. When ordering, round up to the next standard shell length.

Documentation and quality checks

Construction teams need traceable calculations for submittals and site QA. Save runs, then export CSV for spreadsheets or PDF for work packs. Recheck unit selections when mixing metric and imperial inputs, and confirm the head style for cylindrical vessels, since hemispherical and 2:1 ellipsoidal ends add measurable volume. Finally, compare calculated capacity to vendor drawings and as-built surveys; even a 1% diameter error changes volume about 2%.

FAQs

1) What dimensions should I enter for accurate volume?

Use internal clear dimensions. If drawings show outside sizes, subtract wall thickness, lining, and corrosion allowance. For cylinders, enter straight shell height only; head volume is added by the selected head style.

2) How do I choose the correct head style option?

Pick the end configuration shown on vendor drawings: flat, hemispherical, or 2:1 ellipsoidal. If uncertain during early planning, select flat ends, then update once fabrication details are confirmed.

3) What headspace percentage is common on construction projects?

Many mixing and process tanks reserve 8–15% headspace for expansion and surge. Foaming, aeration, or CIP spray patterns can push this higher. Match your process and safety requirements.

4) Why include a safety factor after headspace?

Safety factor provides margin for future throughput, internals, and measurement uncertainty. Typical planning values are 5–10%. Apply the factor to the working volume so freeboard is preserved.

5) How do the CSV and PDF downloads work?

After each calculation, the run is saved to a small history on this device session. Use the buttons to export the saved runs as CSV for spreadsheets or PDF for a printable record.

6) Does the calculator include nozzles, coils, or sloped floors?

No. It calculates geometric internal volume only. Add allowances for displaced volume, dead zones, or sloped bottoms using your project standards, or increase the safety factor to cover them.

Saved calculations

No saved runs yet. Calculate once to start a history.

Notes: Results assume internal dimensions. Verify allowances for lining, weld seams, and nozzles.

Related Calculators

Paver Sand Bedding Calculator (depth-based)Paver Edge Restraint Length & Cost CalculatorPaver Sealer Quantity & Cost CalculatorExcavation Hauling Loads Calculator (truck loads)Soil Disposal Fee CalculatorSite Leveling Cost CalculatorCompaction Passes Time & Cost CalculatorPlate Compactor Rental Cost CalculatorGravel Volume Calculator (yards/tons)Gravel Weight Calculator (by material type)

Important Note: All the Calculators listed in this site are for educational purpose only and we do not guarentee the accuracy of results. Please do consult with other sources as well.