Cylinder Volume Calculator
Enter the radius or diameter and the height. The calculator returns the volume and the lateral and total surface areas.
Result
- Lateral surface area
- 188.4956 cm²
- Area of one end
- 28.2743 cm²
- Volume in liters
- 0.2827 L
- Volume in US gallons
- 0.0747 gal
Formula
- Volume = π × r² × h
- Lateral area = 2π × r × h
- Total surface area = 2π × r × (r + h)
How the Cylinder Volume Calculator works
A cylinder is a circle extended through a height. Its volume is the area of the circular base times the height, which is the same idea as for any prism.
The curved side unrolls into a rectangle whose width is the circumference of the base, giving the lateral area. Adding the two circular ends gives the total surface area.
Worked example
A cylinder with a radius of 3 cm and a height of 10 cm has a volume of π × 9 × 10 = 282.7433 cm³, which is 0.2827 liters. Its total surface area is 2π × 3 × 13 = 245.0442 cm².
Frequently asked questions
How do I calculate the volume of a cylinder in gallons?
Find the volume in cubic inches and divide by 231. A tank 24 inches across and 48 inches tall holds π × 12² × 48 ÷ 231 = 94 gallons.
What is the formula with diameter instead of radius?
Volume = π × d² × h ÷ 4.
Related calculators
- Tank Volume CalculatorCalculate the capacity of a rectangular or cylindrical tank or aquarium in gallons and liters, with the weight of the water.
- Pipe Volume CalculatorCalculate the volume of water inside a pipe from its inner diameter and length, in gallons, liters and cubic feet.
- Cone Volume CalculatorCalculate the volume, slant height and surface area of a right circular cone from its radius and height.
- Sphere Volume CalculatorCalculate the volume and surface area of a sphere from its radius or diameter.
- Circle CalculatorCalculate the radius, diameter, circumference and area of a circle from any one of them.
- Triangle Area CalculatorCalculate the area of a triangle from base and height, from three sides with Heron's formula, or from two sides and the angle between them.
- Rectangle CalculatorCalculate the area, perimeter and diagonal of a rectangle or square from its length and width.
- Trapezoid Area CalculatorCalculate the area of a trapezoid from its two parallel sides and height, with the median line.
- Hexagon and Regular Polygon CalculatorCalculate the area, perimeter, apothem and angles of a regular hexagon, pentagon, octagon or any regular polygon from its side length.
- Box Volume Calculator (Rectangular Prism)Calculate the volume, surface area and space diagonal of a box, cube or rectangular prism from its length, width and height.
- Pyramid Volume CalculatorCalculate the volume, slant heights and surface area of a rectangular or square pyramid from its base and height.
- Surface Area CalculatorCalculate the surface area of a cube, box, cylinder, sphere, cone or square pyramid, with the volume of the same shape.
Related unit converters
Calculations run in your browser and nothing you enter is sent to a server. Results are provided for general information. Check critical figures independently before relying on them.