Lateral Area of a Cone Calculator

Your details

The radius of the circular base of the cone.
cm
Choose whether you know the vertical height or the slant height of the cone.
The perpendicular distance from the apex to the centre of the base.
cm
Lateral surface area
219.8217cm²

Curved side surface only, not including the base

Slant height11.6619cm
Base area113.0973cm²
Total surface area332.919cm²
Volume376.9911cm³

Lateral area: 219.82 square units.

  • The lateral surface makes up 66.0% of the total surface area, and the base makes up 34.0%.
  • The ratio of lateral area to volume is 0.5831, which is useful for heat transfer and material efficiency calculations.
  • If you doubled the radius while keeping the slant height fixed, the lateral area would also double, since the formula is pi times r times l.

Next stepFor manufacturing applications such as party hats, funnels or ice cream cones, use the lateral area to estimate material needed; add the base area if the bottom must be closed.

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