Cylinder Volume Calculator
Find the volume of a cylinder from its radius or diameter and height, with gallons, liters and surface area.
Volume
62.8319
- Volume in other units
- 1,779.1999 L · 470.0149 U.S. gal · 62.8319 ft³ · 2.3271 yd³ · 1.7792 m³
- Total surface area (square units)
- 87.9646
- Side area (square units)
- 62.8319
- Area of the base (square units)
- 12.5664
The cylinder holds 62.8319 cubic units.
Calculation breakdown
| Step | Formula | Result |
|---|---|---|
| Volume | π × 2² × 5 | 62.8319 |
| Total surface area | 2 × π × 2 × (2 + 5) | 87.9646 |
How it works
Choose radius or diameter, then enter the size, the height and the unit.
Worked example
A cylinder with a radius of 2 ft and a height of 5 ft:
- Volume: π × 2² × 5 = 62.8319 ft³
- In liters: 1,779.2 L, or 470.0 U.S. gallons
- Total surface area: 2π × 2 × 7 = 87.9646 ft²
Sources
Frequently asked questions
What is the formula for the volume of a cylinder?
Volume equals pi times the radius squared times the height, V = πr²h. A cylinder with a radius of 2 feet and a height of 5 feet holds π × 4 × 5 = 62.83 cubic feet.
What if I have the diameter?
Choose Diameter and enter it. The calculator halves it to get the radius. A diameter of 4 feet is a radius of 2 feet.
How do I convert the volume to gallons or liters?
The calculator does it for you. One cubic foot is 28.3168 liters, and one U.S. gallon is 3.785411784 liters. The 62.83 cubic foot cylinder holds about 1,779 liters or 470 gallons.
How do you find the surface area of a cylinder?
The total surface area is 2πr(r + h), which is the side area 2πrh plus the two circular ends, each πr². The calculator shows the side, the base and the total.
Can I use this for a pipe or a tank?
Yes. For a pipe, use the inside radius and the length. For a tank, use the inside size and the height of the liquid to find how much it holds.