Mathematics · Geometry
Cylinder Calculator
Calculate cylinder volume and surface area from radius and height.
Inputs and results stay in this browser. Change one value at a time to explore the relationship.
Calculation steps
- Base area = π × 3² = 28.274333882308138.
- Volume = base area × 10 = 282.7433388230814.
- Surface area = 2π(3)(3 + 10) = 245.04422698000386.
Definition and formula
Volume multiplies the circular base area by height; total surface area includes two bases and the curved side.
Volume = πr²h; surface area = 2πr(r + h)
Worked example
For radius 3 and height 10, volume ≈ 282.74 and surface area ≈ 245.04.
Common mistake
Total surface area includes both circular ends.
How to learn with this calculator
Begin with the worked example, then change one value while keeping the others fixed. Compare the new result and calculation steps to identify which part of the formula changed.
Clear answers
Frequently asked questions
What does the Cylinder do?
Calculate cylinder volume and surface area from radius and height.
How does the Cylinder work?
The calculator applies Volume = πr²h; surface area = 2πr(r + h). Volume multiplies the circular base area by height; total surface area includes two bases and the curved side.
What can I learn from the Cylinder?
It connects the mathematical rule to your chosen numbers and shows each calculation step. Change one input at a time to see how the result responds.
Does MW SysArc receive or store what I enter?
No. The calculation runs locally in your browser. MW SysArc does not receive or store your calculation inputs.
How should I use the result?
Use the steps to understand the method, then verify important school or professional work using the notation and rounding rules required in your setting.
Last reviewed 2026-07-14. Calculations tested 2026-07-14.