Right Cylinder
Calculate right cylinder properties instantly -- volume, total surface area, and lateral surface area. Enter radius and height for accurate geometric results with charts.
About This Calculator
The Right Cylinder Calculator is a geometry tool that computes three key properties of a right circular cylinder: volume (V = pir^2h), total surface area (TSA = 2pir^2 + 2pirh), and lateral surface area (LSA = 2pirh). Simply enter the radius of the circular base and the cylinder height to get instant, accurate results.
This calculator is ideal for students learning 3D geometry, engineers designing cylindrical components, construction professionals estimating material volumes, and anyone who needs quick cylinder measurements. The results display with a chart comparison so you can visualize how each property relates to the others.
Regional notes: This calculator is unit-agnostic and works worldwide. In the US, measurements are typically in inches/feet (volume in cubic inches/feet). In the UK and India, metric units (cm/m, volume in cm^3/m^3) are standard. Use the same unit for both radius and height for consistent results.
Frequently Asked Questions
What is the formula for the volume of a right cylinder?
The volume of a right circular cylinder is V = pir^2h, where r is the radius of the circular base and h is the height. This calculator applies the formula automatically when you enter your radius and height values.
What is the difference between total surface area and lateral surface area?
The total surface area (TSA = 2pir^2 + 2pirh) includes both circular end caps plus the curved side. The lateral surface area (LSA = 2pirh) covers only the curved side without the top and bottom circles.
Can I use any unit of measurement?
Yes. This calculator works with any consistent unit system. If you enter radius in meters and height in meters, the volume will be in cubic meters. For inches, volume is in cubic inches. The results are unit-agnostic.
Is this right cylinder calculator free to use?
Yes, all calculators on Calculy are completely free to use with no limits, registrations, or hidden fees.
What is a right circular cylinder?
A right circular cylinder is a 3D shape with two parallel circular bases connected by a curved surface at right angles to the bases. Common examples include cans, pipes, water tanks, and pillars.
How do I find the radius if I only know the diameter?
The radius is half the diameter. If your cylinder has a diameter of 10 units, the radius is 5 units. Divide the diameter by 2 before entering it into the Radius field.
What happens if I enter zero or negative values?
Radius and height must be positive numbers greater than zero. The calculator will not compute results for zero or negative values to ensure mathematically valid outputs.
Can I see a visual chart of the cylinder measurements?
Yes. After calculation, the results section includes a chart tab where you can compare volume, surface area, and lateral area side-by-side or view their composition as a pie chart.