Geometry
Cylinder Volume Calculator
Get cylinder volume along with lateral and total surface areas from a single radius and height.
Feed a radius and height to get volume, lateral area, and total surface instantly.
Cylinder formulas
Volume = πr²h Lateral area = 2πrh Total surface = 2πr(r + h)
Radius (r) and height (h) must share the same unit. Total surface area adds the top and base circles to the curved surface.
How to use
- Enter cylinder radius in your preferred unit.
- Enter the height using the same unit for both inputs.
- Adjust decimal precision if needed and read volume plus surface area outputs instantly.
Example
Input: Radius = 4 cm, Height = 10 cm
Output: Volume ≈ 502.65 cm³, Lateral ≈ 251.33 cm², Total surface ≈ 351.86 cm²
Student-friendly breakdown
This walkthrough emphasizes the most searched ideas for Cylinder Volume Calculator: cylinder volume calculator, circle area calculator, sphere volume calculator, surface area of cylinder calculator. Start with the formula above, then follow the guided steps to double-check your work. For quick revision, highlight the givens, plug into the equation, and finish by verifying your units.
Need more support? Use the links below to open the long-form guide, browse additional examples, or hop into adjacent calculators within the same topic — each one is a quick way to double-check your work or handle a related question without starting from scratch.
Deep dive & study plan
Cylinder Volume Calculator: Computes cylinder volume plus lateral and total surface area. It's built around cylinder, volume, surface area, so you can go from a raw question to a checked answer without switching tools.
The math behind it: Radius (r) and height (h) must share the same unit. Total surface area adds the top and base circles to the curved surface. The core relationship is Volume = πr²h Lateral area = 2πrh Total surface = 2πr(r + h), shown above the calculator so you can see exactly how your inputs turn into the result.
To use it well: (1) Enter cylinder radius in your preferred unit. (2) Enter the height using the same unit for both inputs. (3) Adjust decimal precision if needed and read volume plus surface area outputs instantly. Keep your units consistent as you go, and re-run a case you already know the answer to — it's the fastest way to catch a typo before it throws off a result you're relying on.
Worked example: entering Radius = 4 cm, Height = 10 cm returns Volume ≈ 502.65 cm³, Lateral ≈ 251.33 cm², Total surface ≈ 351.86 cm². Try swapping in your own numbers next, especially a case you're unsure about, before you use this for something that matters.
Quick retention checklist
- Speak the formula aloud (or annotate it) so the relationships stick.
- Write each step in your own words and compare with the numbered list above.
- Swap in new numbers for the Example to make sure the calculator (and your logic) handles edge cases.
- Check at least one related calculator below — it's the fastest way to confirm your numbers still line up from a different angle.
FAQ & notes
Why do the units switch between squared and cubed?
Volume uses cubic units because it measures space, while the surface results are squared since they represent area.
What if I only need lateral area?
Use the lateral value directly; the calculator breaks it out separately from the total surface figure.
What formula does the Cylinder Volume Calculator use?
Radius (r) and height (h) must share the same unit. Total surface area adds the top and base circles to the curved surface.
How do I use the Cylinder Volume Calculator?
Enter cylinder radius in your preferred unit. Enter the height using the same unit for both inputs. Adjust decimal precision if needed and read volume plus surface area outputs instantly.