Cylinder Volume Calculator
Calculate the volume of a cylinder from its radius and height using V = πr²h.
This free online cylinder volume calculator provides instant results with no signup required. All calculations run directly in your browser — your data is never sent to a server. Enter your values below and see results update in real time as you type. Perfect for everyday calculations, homework, or professional use.
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Results
Volume
785.3982 cubic units
How to Use This Calculator
Enter your input values
Fill in all required input fields for the Cylinder Volume Calculator. Most fields include unit selectors so you can work in your preferred unit system — metric or imperial, whichever matches your problem.
Review your inputs
Double-check that all values are correct and that you have selected the right units for each field. Incorrect units are the most common source of calculation errors and can produce results that are off by factors of 2, 10, or more.
Read the results
The Cylinder Volume Calculator instantly computes the output and displays results with units clearly labeled. All calculations happen in your browser — no loading time and no data sent to a server.
Explore parameter sensitivity
Try adjusting individual input values to see how the output changes. This is a quick and effective way to develop intuition about how different parameters influence the result and to identify which inputs have the largest effect.
When to Use This Calculator
- •Use the Cylinder Volume Calculator when you need a quick mathematical result without writing out all the steps manually, saving time on repetitive calculations.
- •Use it to verify hand calculations on tests or assignments and catch arithmetic mistakes.
- •Use it when teaching or explaining mathematical concepts to others, demonstrating how changing inputs affects the result.
- •Use it to explore the behavior of mathematical functions across a range of inputs.
Related Calculators
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Calculate the volume of a cone from its radius and height using V = (1/3)πr²h.
Surface Area of a Cylinder Calculator
Calculate the total surface area of a cylinder from its radius and height.
Circular Segment Area Calculator
Calculate the area of a circular segment (the region between a chord and its arc) given the radius and central angle. Uses A = (r^2/2)(theta - sin(theta)), essential for engineering, architecture, tank volume calculations, and curved surface analysis.
Frustum Volume Calculator
Calculate the volume of a frustum (truncated cone) using V = (PI*h/3)*(R^2 + R*r + r^2), where R and r are the base radii and h is the height. Used in architecture, earthwork calculations, container design, and manufacturing of conical vessels.
Pyramid Volume Calculator
Calculate the volume of a pyramid from its base area (or base length and width) and height.
Rectangular Prism Calculator
Calculate the volume and surface area of a rectangular prism (box) from its length, width, and height.
About Cylinder Volume Calculator
A cylinder is a three-dimensional solid with two parallel circular bases connected by a curved surface. The volume of a cylinder is simply the area of its circular base multiplied by its height: V = πr²h. Cylinders are among the most common shapes in engineering and everyday life — from cans and pipes to storage tanks and engine cylinders. The formula is intuitive: each horizontal cross-section of the cylinder is identical (a circle of area πr²), so the total volume is that area times the height. This calculator accepts the radius and height and returns the exact volume. Cylinder volume calculations are essential in fluid dynamics, manufacturing, and chemistry, where they help determine the capacity of containers, the displacement of engines, and the volume of reagents in cylindrical vessels.
The Math Behind It
Formula Reference
Cylinder Volume
V = π r² h
Variables: r = radius, h = height
Worked Examples
Example 1: Water tank
A cylindrical tank has radius 1.5 m and height 3 m.
V ≈ 21.21 m³ (≈ 21,206 liters)
Common Mistakes & Tips
- !Using the diameter instead of the radius.
- !Forgetting to square the radius (using πrh instead of πr²h).
- !Confusing volume (cubic units) with surface area (square units).
Related Concepts
Used in These Calculators
Calculators that build on or apply the concepts from this page:
Frequently Asked Questions
How do I find the volume in liters?
If you measure in centimeters, the volume in cm³ equals the volume in milliliters. Divide by 1000 to get liters. For meters, 1 m³ = 1000 liters.
Does the formula work for hollow cylinders (pipes)?
For a hollow cylinder, calculate the volume of the outer cylinder minus the inner cylinder: V = πh(R² − r²).
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