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Volume of a Cylinder Calculator

Interactive 3D cylinder — adjust dimensions, see volume update live

Calculate the volume of a cylinder instantly with this free interactive 3D calculator. The formula is V = πr²h, where r is the radius of the circular base and h is the height of the cylinder. Enter your values in the panel and watch the 3D model update in real time — volume and surface area are computed as you type.

Use this tool for real-world calculations: find the capacity of a water tank, determine how much liquid a pipe can hold, or figure out the volume of a tin can. For example, a cylinder with radius 5 cm and height 10 cm has a volume of approximately 785.4 cm³ (about 0.785 liters).

Need help understanding the steps? The built-in AI chat assistant can walk you through the calculation step by step, explain unit conversions, or help you solve homework problems involving cylinders.

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FAQ

What is the volume of a cylinder?
V = πr²h, where r is the radius and h is the height.
What is the surface area of a cylinder?
SA = 2πr² + 2πrh (two circles + lateral surface).
How do I find the lateral area?
Lateral area = 2πrh. This is the area of the curved surface only, without the two circular bases. If you unroll it, it becomes a rectangle with width 2πr and height h.
How do I use this cylinder volume calculator?
Enter the radius and height in the input panel. The 3D model updates live as you adjust the values. Volume and surface area are computed instantly and displayed below the model. You can also ask the AI chat assistant for step-by-step explanations or help with unit conversions.
What are real-world uses for cylinder volume?
Calculating tank capacity (water, fuel, grain silos), pipe volume for plumbing and engineering, tin can dimensions for packaging, swimming pool volume for chemical dosing, and any container shaped like a cylinder. The formula V = πr²h applies to all of these.

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