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Surface Area of a Cone Calculator
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A Cone is a three dimensional shape with only one vertex, having a circular base. Total surface area of a cone is the sum of the area of the base and the area of the curved surface.

 

Steps for Calculating Surface Area of a Cone

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Step 1 :  

Formula for total surface area of a cone = Area of the base length(π × r2) + area of the curved surface(π × r × s)
Where, r = radius of the base and s = slant height



Step 2 :  

Put the values in the formula and find the total surface area of a cone.



Example Problems on Surface Area of a Cone

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  1. Calculate the total surface area of a cone having the radius of the base as 4cm and the slant height is 8cm?


    Step 1 :  

    Given that:
    Radius(r) = 4cm
    Slant height = 8cm
    Total surface area = ?



    Step 2 :  

    Substitute the given values in the formula:
    Total Surface area of a cone = π × r2 + π × r × s
    Total Surface area of a cone = π × (4cm)2 + π × (4cm) × (8cm)
    Total Surface area of a cone = 150.796 cm2



    Answer  :  

    = 150.796 cm2



  2. Calculate the curved surface area of a cone having the radius of the base as 4cm and the slant height is 6cm?


    Step 1 :  

    Given that:
    Radius(r) = 4cm
    Slant height(s) = 6cm
    Curved surface area = ?



    Step 2 :  

    Substitute the given values in the formula:
    Curved Surface area of a cone = π × r × s
    Curved Surface area of a cone = π × (4cm) × (6cm)
    Curved Surface area of a cone = 75.358 cm2



    Answer  :  

    75.358 cm2



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