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Water Tank Volume Calculator

Calculate water tank capacity and partial fill volume for vertical, horizontal, and rectangular tanks. Features exact circular segment dipstick math.

Current Liquid Volume (US Gallons)
1.5584gal
Tank Capacity Utilization75% %
Total Tank Max Capacity2.0779 gal gal
Current Liquid Volume (Liters)5.8993 L L
Remaining Empty Ullage Volume120 in³
Tank Fill DiagramLiquid Level
Step 1: Calculate Total Rectangular Tank Capacity480 in³
Formula: V_total = L × W × H
Substitution: V_total = 10 × 6 × 8 = 480 in³

Multiplying rectangular length, width, and height.

Step 2: Calculate Liquid Volume at Current Fill Depth360 in³
Formula: V_liquid = L × W × depth
Substitution: V_liquid = 10 × 6 × 6 = 360 in³

Current volume based on liquid height.

Quick Answer

Calculates total capacity and current held volume for vertical cylinders, horizontal cylinders, and rectangular tanks. For horizontal tanks, it uses circular segment trigonometry to convert dipstick fill depth into gallons and percentage full.

Water Tank Volume Calculator Formula & Sizing Rules

Horizontal Segment: A = r² × arccos((r-h)/r) - (r-h) × √(2rh - h²)
Mathematical Variable Legend for Water Tank Volume Calculator Formula & Sizing Rules
VariableDefinitionStandard Units
rTank radius (half of tank diameter)inches or feet
LTank length along the horizontal axisinches or feet
hLiquid depth measured from bottom with dipstickinches or feet

Why Horizontal Tanks are Non-Linear

In a vertical tank, liquid volume is directly proportional to fill height: half height equals half full. In a horizontal cylinder, however, the tank is narrow at the bottom, widest at the middle, and narrow again at the top. A dipstick reading of 25% height holds significantly less than 25% of total capacity.

Common Project Sizing Mistakes

  • Assuming 50% dipstick depth means 50% full on an unlevel horizontal tank
  • Ignoring head shape on large industrial tanks with dished or hemispherical ends

Frequently Asked Questions

How do you calculate how many gallons are in a horizontal tank?▼
Determine radius r and liquid depth h. Calculate the circular segment area A = r² × arccos((r-h)/r) - (r-h)√(2rh - h²), multiply by tank length, and divide cubic inches by 231.
How much does water weigh per gallon?▼
Fresh water weighs approximately 8.34 pounds per US liquid gallon (or 1.0 kg per liter).
How do you find the capacity of a vertical cylinder tank?▼
A vertical cylinder tank has volume V = π × r² × h. In US gallons, compute capacity as π × (radius in inches)² × (height in inches) ÷ 231.
What is tank ullage in liquid storage?▼
Ullage is the unfilled empty headroom space remaining above the liquid level in a storage vessel, designed to accommodate thermal liquid expansion and vapor pressure safety.

Authoritative Sources & Reference Standards

  1. Guide for the Use of the International System of Units (SI), NIST Special Publication 811 — National Institute of Standards and Technology (NIST). Verified 2026-10-01.

    Official SI unit definitions, conversion factors (Appendix B), and precision standards for cubic meters, liters, and US customary units.

  2. NIST Handbook 44: Specifications, Tolerances, and Other Technical Requirements for Weighing and Measuring Devices — NIST Office of Weights and Measures. Verified 2026-10-01.

    Legal commercial measurement standards for liquids, tanks, and bulk volumetric containers in the United States.

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