CalcCalcolatrice di Volume del Cilindro
Ultimo aggiornamento: 2026-05-09
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| Raggio | Altezza | |
|---|---|---|
| Caso basico | 1.2 | 4.0 |
| Caso tipico | 2.1 | 7.0 |
| Caso medio | 3.0 | 10.0 |
| Caso avanzado | 4.5 | 15.0 |
| Caso extremo | 7.5 | 25.0 |
Cylinder Volume & Surface Area Calculator
A right circular cylinder is a geometric solid with two parallel circular bases connected by a curved surface. This calculator computes both the volume and total surface area from the base radius and cylinder height.
Cylinder formulas
For a cylinder with radius r and height h:
- Volume: V = π × r² × h
- Total surface area: SA = 2 × π × r × (r + h)
- Lateral area: LA = 2 × π × r × h
The total surface area includes both circular bases (2 × π × r²) plus the lateral area (2 × π × r × h).
Example 1: cylinder with integer dimensions
Problem: A cylinder has radius r = 5 cm and height h = 12 cm.
- Volume:
- V = π × 5² × 12 = π × 25 × 12 ≈ 942.48 cm³.
- Surface area:
- SA = 2 × π × 5 × (5 + 12) = 2 × π × 5 × 17 ≈ 534.07 cm².
Answer: V ≈ 942.48 cm³, SA ≈ 534.07 cm².
Example 2: cylinder with decimal measurements
Problem: A cylindrical tank has radius r = 1.5 m and height h = 3.2 m.
- Volume:
- V = π × 1.5² × 3.2 = π × 2.25 × 3.2 ≈ 22.62 m³.
- Surface area:
- SA = 2 × π × 1.5 × (1.5 + 3.2) = 2 × π × 1.5 × 4.7 ≈ 44.30 m².
Answer: V ≈ 22.62 m³, SA ≈ 44.30 m².
Usi comuni
- Calculating the capacity of water tanks, barrels and cylindrical containers.
- Estimating paint quantities needed to cover cylindrical surfaces.
- Determining the volume of pipes and cylindrical conduits.
- Solving solid geometry problems in mathematics and physics.
- Designing cylindrical packaging and containers in product engineering.
- Computing materials for columns, pillars and circular architectural elements.
Common mistakes when working with cylinders
- Using the diameter instead of the radius in formulas without dividing by 2.
- Confusing lateral area with total surface area.
- Forgetting to include both bases when calculating total surface area.
- Mixing units, such as radius in cm and height in meters.
Consiglio professionale
When working with hollow cylinders (like pipes), compute the material volume by subtracting the inner volume from the outer: V_material = π × (R_outer² − R_inner²) × h. This is essential for estimating material weight and cost.
The calculator uses a high-precision approximation of π (pi ≈ 3.14159265359), which is sufficient for most practical applications.
Yes, simply divide the diameter by 2 to get the radius before applying the formulas. The calculator may accept both formats.
The volume is the same if the perpendicular height is maintained, but the surface area changes. These formulas assume a right circular cylinder.
The lateral area is LA = 2 × π × r × h. It is the curved surface area without including the two circular bases.