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Surface Area of a Cylinder Calculator
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The surface area of a cylinder is defined as the total area of a surface of a cylinder.

Surface area of a cylinder

Surface Area of a Cylinder Calculator (or Area of a Cylinder Calculator) takes radius and height of the cylinder as the inputs and calculates the surface area of the cylinder.

 

Steps for Calculating Surface Area of a Cylinder

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Step 1 :  

Formula for total surface area of a cylinder = curved surface area + area of top and bottom.


Curved surface area = 2 × π × r × h .


Total surface area = 2 × π × r × h + 2 × π × r2.


r = radius of the base or top.


h = height of the cylinder.


π = 3.142 (fixed value).



Step 2 :  

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



Examples for Surface Area of a Cylinder Calculator

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  1. Calculate the curved surface area of the cylinder, if the radius of a base is 5cm and the height of a cylinder is 10cm?


    Step 1 :  

    Given that:


    r = 5 cm


    h = 10 cm


    Curved surface area = ?



    Step 2 :  

    Put the values in the formula,


    Curved surface area = 2 × π × r × h


    Curved surface area = 2 × 3.142 × 5 cm × 10 cm


    Curved surface area = 314.2 cm2



    Answer  :  

    Curved surface area = 314.2 cm2.



  2. Calculate the total surface area of a cylinder , if the radius of a base is 6 cm and the height of a cylinder is 9 cm?


    Step 1 :  

    Given that:


    r = 6 cm


    h = 9 cm


    Total surface area = ?



    Step 2 :  

    Put the values in the formula,


    Total surface area = 2 × π × r × h + 2 × π × r2


    Total surface area = 2 × 3.142 × 6 cm × 9 cm + 2 × 3.14 × 62


    Total surface area = 2 × 3.142 × 54 cm2 + 2 × 3.14 × 36 cm2


    Total surface area = 33.9.3  cm2 + 226.08 cm2


    Total surface area = 565.38 cm2



    Answer  :  

    Total surface area = 565.38 cm2.



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