Hose Volume Calculator

Enter the hose radius (in) and the hose length (in) into the Hose Volume Calculator. The calculator will evaluate and display the Hose Volume. 

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Hose Capacity Formula

Hose capacity is the internal volume of a hose. For a round hose, the inside space is modeled as a cylinder, so the calculation is simply cross-sectional area multiplied by length. Always use the internal diameter of the hose, not the outside diameter.

HC = \pi \left(\frac{d}{2}\right)^2 L

The same relationship can also be written with radius instead of diameter:

HC = \pi r^2 L

Variable Definitions

• HC = hose capacity or internal volume
• d = internal diameter of the hose
• r = internal radius of the hose
• L = hose length

If diameter and length are entered in compatible units, the result is the hose volume in cubic units. For example, inches produce cubic inches, and meters produce cubic meters.

Common Shortcut Forms

HC_{in^3} = 3\pi d^2 L

HC_{gal} = \frac{\pi}{77} d^2 L

HC_{L} = \frac{\pi}{40} d^2 L

HC_{ft^3} = \frac{\pi}{576} d^2 L

How to Calculate Hose Capacity

1. Measure the hose inside diameter.
2. Measure the full hose length.
3. Convert units first if the diameter and length are not in a compatible system.
4. Find the cross-sectional area of the hose opening.

A = \pi \left(\frac{d}{2}\right)^2

5. Multiply the area by the hose length to get total internal volume.
6. Convert the result to gallons, liters, cubic feet, or cubic meters if needed.

Quick Capacity Reference

The values below are approximate capacities for a 100 ft hose with the listed internal diameter.

Example Calculations

A hose with a 1 inch internal diameter and a length of 50 ft has a capacity of about 2.04 gallons.

HC = \pi \left(\frac{1}{2}\right)^2 (600) \approx 471.24 \text{ in}^3

HC \approx \frac{471.24}{231} \approx 2.04 \text{ gal}

A hose with a 2.5 cm internal diameter and a length of 20 m holds about 9.82 liters.

HC_{L} = \frac{\pi}{40}(2.5)^2(20) \approx 9.82 \text{ L}

Why Hose Capacity Matters

• Filling and draining: helps estimate how much liquid remains in the line.
• Chemical dosing: useful when the hose volume becomes part of the total batch or transfer amount.
• Priming and purging: important for pumps, sprayers, coolant loops, and process lines.
• Winterizing and cleaning: helps estimate how much fluid must be removed, flushed, or replaced.
• System design: gives a better estimate of total line volume when multiple hoses and fittings are connected.

Important Notes

• Capacity is not flow rate. Capacity tells you how much the hose can hold, while flow rate depends on pressure, friction loss, fittings, elevation, and pump performance.
• Diameter has a squared effect. If hose length stays the same, doubling the internal diameter increases capacity by four times.
• Length has a linear effect. If diameter stays the same, doubling the hose length doubles the capacity.
• Use actual internal diameter when precision matters. Nominal hose sizes may not match the exact measured I.D.
• End fittings and accessories add volume. If total system volume matters, include manifolds, valves, couplers, and filters separately.
• This calculation assumes a full, round hose. Flattened, kinked, corrugated, or partially collapsed hose can reduce real internal volume.

Common Mistakes

• Using outside diameter instead of inside diameter
• Mixing inches, feet, centimeters, and meters without converting first
• Confusing storage volume with delivery rate
• Ignoring extra volume from fittings or connected piping
• Rounding the diameter too aggressively on small hoses

Unit Conversions Often Used With Hose Volume

1 \text{ US gal} = 231 \text{ in}^3

1 \text{ ft}^3 = 1728 \text{ in}^3

1 \text{ L} = 1000 \text{ cm}^3

1 \text{ m}^3 = 1000 \text{ L}