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Frustum Lateral Surface Calculator (A = π(R+r)l)

Quick answer

This calculator computes the frustum lateral surface: exact formula A = π(R+r)l, worked example R = 5, r = 3, h = 4 cm → l = 4.47, A = 112.40 cm².

  • Free, instant, any units.

Figures are estimates from this calculator’s standard formula — adjust the inputs in the tool below for your exact number.

How the frustum lateral surface Calculator Works

A_lat = π(R + r)·√((R − r)² + h²)

The calculator applies the exact formula A_lat = π(R + r)·√((R − r)² + h²). Worked example: R = 5 cm, r = 3 cm, h = 4 cm → l = 4.47 cm, A_lat = 112.40 cm². Keep every input in one unit system and the result follows in square units (m², ft², cm²); full precision is kept until the final rounding. Radius fields expect radii — halve any diameter before entering it.

  1. 1

    Enter the measurements

    Type the values required by the formula for frustum lateral surface.

  2. 2

    Check the units

    One unit system throughout — cm, m, ft or in.

  3. 3

    Read the result

    The calculator substitutes, evaluates and rounds only at the end.

Use Cases

Paint and coating coverage for frustum lateral surface

Sheet-metal and cladding takeoffs

Checking homework against hand calculations

Tips

  • 1

    Area scales with the square of linear dimensions

  • 2

    Add overlaps and wastage before ordering material

  • 3

    Paint coverage: 1 L covers roughly 10 m² per coat

Common Mistakes

  • Mixing cm and m inputs — area then scales wrongly

  • Using diameter as radius quadruples the result

  • Forgetting flanges, rims and overlaps

FAQs