Cylinder Volume & Surface Area Calculator
Compute 3D cylinder cubic volume, lateral curved area, and total surface area.
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How to Use the Cylinder Volume Calculator: Dimensions & Surface Area
- 1Enter the cylinder radius (or half of its diameter).
- 2Enter the vertical height of the cylinder.
- 3Read the calculated cubic volume in your measurement units.
- 4Review the lateral curved area and total surface area for sheet metal or paint planning.
Formula & How It Works
3D Cylindrical Geometry Equations
Calculates volume as base area extruded across height, plus exterior surfaces.
Worked Examples
Cylinder with r = 3m, h = 5m
Input: Radius: 3, Height: 5
Explanation: Volume = π × 9 × 5 = 45π ≈ 141.372 cubic meters.
Frequently Asked Questions
How do you calculate cylinder volume from diameter?▼
Divide the diameter by 2 to get radius r, then apply V = π × r² × h.
How many gallons are in a cubic foot of cylinder volume?▼
One cubic foot equals approximately 7.48052 US liquid gallons.
What is lateral surface area?▼
Lateral surface area is the area of the curved vertical cylinder wall, excluding the top and bottom circular caps.
Can this be used for pipes and tubes?▼
Yes, for internal fluid capacity, use the inner radius and length of the pipe.
Quick Reference & Conversion Table
| Radius (r) | Height (h) | Volume (V) | Lateral Area | Total Area |
|---|---|---|---|---|
| 1.0 | 2.0 | 6.283 | 12.566 | 18.850 |
| 2.0 | 5.0 | 62.832 | 62.832 | 87.965 |
| 3.0 | 5.0 | 141.372 | 94.248 | 150.796 |
| 4.0 | 10.0 | 502.655 | 251.327 | 351.858 |
⚠️ Common Pitfalls to Avoid
- •Entering the full diameter into the radius field, which quadruples the calculated volume.
- •Confusing cubic volume capacity with square surface area coverage.
💡 Practical Real-World Uses
- •Sizing water storage tanks, oil drums, and hot water heaters.
- •Calculating concrete volume required for circular foundation piers and sonotubes.
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