Determine the total surface area of a cylinder, including the top and bottom. Enter the radius and height to compute results using the standard cylinder total surface area formula. Useful for design, construction, and educational purposes.
Here r is the radius and h is the height. This cylinder total surface area formula includes the lateral surface and both bases.
| Radius (r) | Height (h) | Total Surface Area |
|---|---|---|
| 3 | 5 | 150.796447 |
| 4 | 7 | 276.460153 |
| 5 | 10 | 471.238898 |
| 6 | 8 | 439.822972 |
| 10 | 12 | 1407.964474 |
To calculate manually: add the area of the two bases (2 × π × r²) to the lateral surface area (2 × π × r × h). This step demonstrates how the cylinder total surface area formula works in practice.
This cylinder total surface area calculator provides results with six decimal places automatically. It is ideal for students, engineers, or anyone needing to verify surface areas quickly.
• The total surface area is the sum of the lateral surface and the areas of the top and bottom.
• Cylinders are widely used in construction, packaging, and mechanical design.
• Knowing the total surface area helps estimate material usage for coating, painting, or fabrication.
• The formula 2 × π × r × (r + h) combines lateral and base areas in one calculation.
• Engineers often calculate both lateral and total surface areas for efficiency and precision.