Cubic Feet Cylinder Calculator

Calculate the volume of a cylinder in cubic feet from radius and height, with conversions to gallons, liters, and other units.

Enter Cylinder Dimensions (in Feet)

Result

Volume
141.371669
cubic feet (ft³)
Radius 3 ft
Height 5 ft
Volume (ft³) 141.371669 ft³
Volume (US Gallons) 1,057.45 gal
Volume (Liters) 4,002.44 L
Volume (in³) 244,290.24 in³
Volume (yd³) 5.236 yd³

Step-by-Step Solution

V = πr²h = π × 3² × 5 = 141.371669 ft³

Cylinder Volume in Cubic Feet

The volume of a cylinder is calculated using the formula V = πr²h, where r is the radius of the circular base and h is the height (or length) of the cylinder. When both measurements are in feet, the result is in cubic feet (ft³). Cubic feet is a commonly used unit of volume in the United States and United Kingdom for measuring capacity in construction, shipping, HVAC, and plumbing.

One cubic foot equals approximately 7.48052 US gallons, 28.3168 liters, or 1,728 cubic inches. These conversions are essential when working with fluid volumes, tank capacities, or material quantities.

Common Cylinder Volume Conversions

Cubic Feet to Gallons

Convert ft³ to US liquid gallons.

1 ft³ = 7.48052 US gal

Cubic Feet to Liters

Convert ft³ to metric liters.

1 ft³ = 28.3168 L

Cubic Feet to Cubic Inches

Convert ft³ to in³.

1 ft³ = 1,728 in³

Cubic Feet to Cubic Yards

Convert ft³ to yd³.

1 yd³ = 27 ft³

How to Measure a Cylinder

To calculate the volume of a cylindrical object in cubic feet:

  1. Measure the radius (or diameter) of the circular base in feet. If measuring the diameter, divide by 2 to get the radius.
  2. Measure the height (length) of the cylinder in feet.
  3. Apply the formula: V = π × r² × h.
  4. The result is the volume in cubic feet.

Practical Applications

  • Water Tanks: Calculate how many gallons a cylindrical water tank can hold.
  • Swimming Pools: Estimate the volume of water in a round swimming pool.
  • Pipes & Ducts: Determine the volume of air or fluid flowing through cylindrical conduits.
  • Silos & Bins: Compute the storage capacity of cylindrical grain silos.
  • Concrete Work: Calculate the amount of concrete needed for cylindrical columns or footings.

Using Diameter Instead of Radius

If you know the diameter (d) instead of the radius, simply divide by 2: r = d/2. Then substitute into the formula: V = π(d/2)²h = πd²h/4. Both approaches yield the same result.

Converting Between Unit Systems

If your measurements are in inches, convert to feet first by dividing by 12 (since 1 foot = 12 inches). If in meters, multiply by 3.28084 to convert to feet. Alternatively, calculate the volume in the original units and convert the final result.