📖 How To Use
How to Use This Cone Bottom Tank Volume Calculator
Calculating the total capacity of a cone bottom tank takes under 60 seconds — just measure three dimensions:
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Measure the internal diameter
Use the inside diameter of the cylindrical section. External diameter overstates internal volume by the combined wall thickness on both sides — typically 6–20 mm for polyethylene or stainless steel tanks.
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Measure the cylinder height
This is the straight vertical wall height of the cylindrical section only — from the top of the cone joint up to the top of the tank body. Do not include the cone depth in this measurement.
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Measure the cone height
The vertical depth of the conical section from the base of the cylinder down to the outlet tip. On a 45° cone, this equals the cone's base radius. On steeper cones, it will be greater.
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Choose your units per field
Each input has its own unit selector — ft, in, cm, m, or mm. Mix units freely if needed (e.g., diameter in inches, heights in cm).
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Adjust the fill level slider (optional)
Set to less than 100% to calculate volume at a partial fill — useful for monitoring current inventory or planning headspace.
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Hit Calculate
Results appear instantly: total litres, breakdown by cylinder and cone, US/UK gallons, cubic metres, water weight, and more.
Tip: The cone section always holds less than you expect. A cone with the same base diameter and height as the cylinder holds exactly one-third of the cylinder's volume. For a tank with a tall cone, this section can represent 15–35% of total capacity.
📐 The Formula
Cone Bottom Tank Volume Formula
A cone bottom tank is calculated as two separate geometric shapes — a cylinder on top and a cone below — added together:
Total Volume = Cylinder Volume + Cone Volume
Cylinder: Vcyl = π × r² × Hcyl
Cone: Vcone = (1/3) × π × r² × Hcone
Where r = Diameter ÷ 2
Litres (cm inputs): divide cm³ result by 1,000
This calculator converts all inputs to centimetres first, computes both volumes, applies the fill percentage, then converts to all output units simultaneously.
Unit Conversion Reference
| Unit | Equals Litres | From Litres |
|---|
| 1 Litre (L) | 1 L | × 1 |
| 1 Cubic Metre (m³) | 1,000 L | ÷ 1,000 |
| 1 US Gallon | 3.785 L | ÷ 3.785 |
| 1 UK Gallon | 4.546 L | ÷ 4.546 |
| 1 Cubic Foot (ft³) | 28.317 L | ÷ 28.317 |
| 1 Cubic Inch (in³) | 0.01639 L | × 61.024 |
Water Weight
1 litre of fresh water = 1 kg (or 2.2046 lbs). This is the standard used for structural load calculations worldwide.
Weight (kg) = Volume (litres) × 1
Weight (lbs) = Volume (litres) × 2.2046
📏 Reference Data
Common Cone Bottom Tank Sizes & Volumes
Typical manufactured cone bottom tanks and their calculated total volumes (60° cone angle unless noted):
| Diameter | Cyl. Height | Cone Height | Total Litres | US Gal | Full Weight |
|---|
| 60 cm | 80 cm | 30 cm | 254 | 67 | 254 kg |
| 80 cm | 100 cm | 40 cm | 570 | 151 | 570 kg |
| 100 cm | 120 cm | 50 cm | 1,072 | 283 | 1,072 kg |
| 120 cm | 150 cm | 60 cm | 1,921 | 508 | 1,921 kg |
| 150 cm | 180 cm | 75 cm | 3,709 | 980 | 3,709 kg |
| 180 cm | 220 cm | 90 cm | 6,490 | 1,715 | 6,490 kg |
| 200 cm | 250 cm | 100 cm | 8,901 | 2,352 | 8,901 kg |
Note: Actual manufacturer dimensions vary. Always verify against the supplier's data sheet and measure internal dimensions.
Cone Angle and Its Effect on Volume
| Cone Angle | Cone Height (for 100 cm diameter) | Cone Volume | Notes |
|---|
| 30° | 86.6 cm | 227 L | Very steep — full drainage |
| 45° | 50 cm | 131 L | Standard for most industries |
| 60° | 28.9 cm | 75 L | Shallow — partial drainage |
| 90° | 0 cm | 0 L | Flat bottom (no cone) |
🏭 Use Cases
When to Use a Cone Bottom Tank Volume Calculator
Cone bottom tanks (also called hopper bottom tanks or conical tanks) appear across many industries wherever complete drainage or solids collection is needed. This calculator is the right tool whenever you need to:
🧪
Chemical Processing
Dose chemicals accurately from batch tanks. Knowing exact volume means precise concentration calculations.
🍺
Brewing & Fermentation
Conical fermenters use the bottom cone to collect yeast. Total volume determines batch yield.
💧
Water Treatment
Settling and clarifier cones require accurate volume for dosing coagulants and sizing pumps.
🌾
Agriculture & Feed
Hopper-bottom grain bins and liquid fertiliser tanks need capacity figures for stock management.
💊
Pharmaceuticals
Sterile process vessels with conical bottoms require validated volume data for batch records.
🛢️
Liquid Storage
Juice, dairy, oil, and other food-grade liquids are stored in conical tanks to ensure zero residue.
❓ FAQ
Frequently Asked Questions
How do I calculate the volume of a cone bottom tank?
A cone bottom tank has two parts: a cylinder on top and a cone below. Calculate each separately and add the results. Cylinder volume = π × r² × h. Cone volume = (1/3) × π × r² × h_cone. This calculator handles all the math and unit conversions automatically — just enter diameter, cylinder height, and cone height.
What is a cone bottom tank used for?
Cone bottom tanks are used wherever complete drainage or solids settling is needed. Common applications include fermentation (collecting yeast), chemical dosing, water treatment (settling solids), food processing, pharmaceuticals, and agricultural liquid storage. The sloped cone ensures nothing is left behind when emptying.
What is the difference between cone height and total tank height?
Total tank height = cylinder height + cone height. The cylinder height is only the straight-wall section from the top of the cone joint to the top of the body. The cone height is the vertical depth of the tapered section alone. Enter them separately into this calculator — they are calculated with different formulas (cylinder vs. cone geometry).
How much volume does the cone section hold compared to the cylinder?
For the same base diameter and height, a cone holds exactly one-third (33.3%) of a cylinder's volume. In practice, because tank cone heights are typically 30–60% of cylinder heights, the cone section represents 10–25% of total tank capacity. The calculator shows both values separately so you can see the breakdown clearly.
Should I use internal or external dimensions for cone bottom tank volume?
Always use internal dimensions. External diameter includes wall thickness on both sides — typically 5–15 mm each side for polyethylene, and up to 10 mm per side for stainless steel. For a 60 cm external diameter tank with 8 mm walls, the internal diameter is 58.4 cm — a 2.7% error that compounds across the full volume calculation.
How do I measure the cone height if I can't access the bottom?
If you know the cone angle, you can calculate the height from the radius: Cone Height = r ÷ tan(half the cone apex angle). For a standard 45° apex-angle cone, the height equals the radius (half the diameter). For a 60° apex-angle cone, height = r × tan(30°) ≈ r × 0.577. Check the manufacturer's data sheet for the cone angle if direct measurement is not possible.
Can this calculator handle metric and imperial units at the same time?
Yes. Each dimension field has its own independent unit selector. You can enter diameter in inches, cylinder height in feet, and cone height in centimetres all in the same calculation. The calculator converts everything to centimetres internally before computing volumes, ensuring correct results regardless of the mix of units used.
What is the weight of a full cone bottom tank?
Fresh water weighs 1 kg per litre. A full 1,000-litre cone bottom tank holds 1,000 kg of water plus the tank shell weight (typically 40–100 kg depending on material and size). For industrial tanks on raised frames or mezzanines, always have a structural engineer verify the load rating. Use our Water Tank Weight Calculator for precise structural load figures.