Cone Total Surface Area Calculator

(radius)

units

(slant height)

units

Total Surface Area (A)

square units

View Calculation

How to use this Cone Total Surface Area Calculator 🤔

Enter ✎ value for radius (r).
Enter ✎ value for slant height (l).
As soon as you enter the required input value(s), the Cone Total Surface Area is calculated immediately, and displaed in the output section (present under input section).

Formula

To calculate the cone total surface area, you can use the following formula.

\(A = \) \( π r l + π r ^{2} \)

where

Calculation

Once you enter the input values in the calculator, the output parameters are calculated.

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{
  "topic": "cone-total-surface-area",
  "input_types": [
    "float",
    "float"
  ],
  "input_labels": [
    "r",
    "l"
  ],
  "input_values": [
    "8",
    "6"
  ],
  "input_units": [
    "units",
    "units"
  ],
  "input_descriptions": [
    "radius",
    "slant height"
  ],
  "examples": [
    {
      "r": 20,
      "l": 10
    },
    {
      "r": 1,
      "l": 0.5
    }
  ],
  "type": "Calculate",
  "title": "Cone Total Surface Area",
  "category": "Geometry",
  "shape": "Cone",
  "formula_mathjax": "\\( π r l +  π r ^{2} \\)",
  "formula_mathjax_sub": "\\( ( 3.1415 \\times r \\times l ) + ( 3.1415 \\times r  ^{2} )\\)",
  "formula": "Math.PI * r * l + Math.PI * r * r ",
  "op_label": "Total Surface Area",
  "output_unit": "square units",
  "explanation": "The Total Surface Area of a Cone is the sum of curved surface area of cone and the area of the circular base."
}