This calculator computes the full geometry of a right circular cylinder from its radius and height. Enter those two values and it returns the volume, total surface area, and the lateral (curved) and base areas. It is useful for sizing tanks, pipes, cans and any cylindrical container — keep your units consistent and read all results instantly.
How it works
From the radius (r) and height (h), the tool applies the standard cylinder formulas using full-precision π:
| Quantity | Formula |
|---|---|
| Volume | π · r² · h |
| Base area (one end) | π · r² |
| Lateral surface area | 2 · π · r · h |
| Total surface area | 2 · π · r · h + 2 · π · r² = 2 · π · r · (r + h) |
The lateral area is the curved wall; the total area adds both circular ends.
Example
A cylinder with radius 3 and height 10:
volume = π · 3² · 10 = 90π ≈ 282.743 lateral area = 2π · 3 · 10 = 60π ≈ 188.496 total area = 60π + 18π = 78π ≈ 245.044
So this cylinder holds about 282.74 cubic units and has a total surface area of about 245.04 square units. Useful for tanks, pipes and containers. Everything updates instantly in your browser.