Quadratic Equation Solver (ax² + bx + c = 0)
About Cylinder Calculator
The Comprehensive Cylinder Geometry Calculator computes Volume ($V = \pi r^2 h$), Total Surface Area ($TSA = 2\pi r(r + h)$), Lateral Area ($LSA = 2\pi rh$), Base Area ($A = \pi r^2$), and Hollow Pipe Wall Thickness from any two known parameters.
How to Use Cylinder Calculator
Step 1
Enter Radius (or Diameter) and Height.
Step 2
Optionally specify inner radius for hollow pipe calculations.
Step 3
Review computed volume, lateral surface area, and base areas.
Step 4
Click "Copy Cylinder Specs".
Practical Use Cases for Cylinder Calculator
Liquid Storage Silo & Chemical Drum Sizing
Calculate liquid volume capacity and steel sheet metal surface area for oil drums, water heaters, and cylindrical fermenters.
Hydraulic Cylinder & Engine Piston Displacement
Compute piston displacement volume (swept volume $\text{cc} = \pi (\text{bore}/2)^2 \times \text{stroke}$) for automotive engine design.
Input & Output Examples
Solving Cylinder with Radius 3 and Height 10
Radius (r): `3.0 cm`, Height (h): `10.0 cm`
Volume: `282.74 cm³ (90π)` | Total Surface Area: `245.04 cm² (78π)` | Lateral Area: `188.50 cm² (60π)` | Base Area: `28.27 cm²`
Key Features & Performance
- ✓Multi-Parameter Solver: solve for Height, Radius, Volume, or Surface Area from any paired inputs.
- ✓Hollow Cylinder / Pipe Mode: calculates internal volume and pipe wall steel material mass ($V = \pi (R^2 - r^2) h$).
- ✓Exact Pi Notation: presents results in exact algebraic multiples of $\pi$ and decimal notation.
- ✓100% Client-Side geometry engine.
- ✓1-Click Copy cylinder specifications.
Key Terminology & Definitions
Right Circular Cylinder
A 3D geometric solid formed by two parallel congruent circular bases connected by a curved surface perpendicular to the bases.
Hollow Cylinder (Cylindrical Shell)
A 3D pipe shape bounded by two concentric cylinders of different radii $R$ (outer) and $r$ (inner).