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Cylinder Calculator
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Cylinder Calculator is an online tool used to find volume, curved surface area and total surface area of the cylinder.
Cylinder
 Cylinder is a solid geometrical figure. It has two circular curves one for the base and another for the opening of the cylinder. Height is measured along the y-axis of cylinder. The distance from the center of the base and the edge of the cylinder is radius.
 

Step by Step Calculation

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Step 1 :  

Cylinder Formula's:


 


Volume of a Cylinder


 


V = $\pi$r2h


 


Where V = Volume, r = radius, h = height and $\pi$ value = 3.142


 


Curved Surface Area of Cylinder


 


C = 2$\pi$rh


 


Where C = Curved surface area, r = radius, h = height and $\pi$ value = 3.142


 


Total Surface Area of Cylinder


 


A = 2$\pi$r(h+r)


 


Where A = Area, r = radius, h = height and $\pi$ value = 3.142



Step 2 :  

Put the values in the formulas and calculate it further.



Example Problems

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  1. The cylinder has the radius (r) = 5 cm, height (h) = 10 cm. Calculate for volume, curved surface area  and total surface area of cylinder.


    Step 1 :  

    Given: Cylinder has the radius (r) = 5 cm, height (h) = 10 cm.


     


    Volume of a Cylinder


     


    V = $\pi$r2h


     


    Where V = Volume, r = radius, h = height and $\pi$ value = 3.142


     


    Curved Surface Area of Cylinder


     


    C = 2$\pi$rh


     


    Where C = Curved surface area, r = radius, h = height and $\pi$ value = 3.142


     


    Total Surface Area of Cylinder


     


    A = 2$\pi$r(h+r)


     


    Where A = Area, r = radius, h = height and $\pi$ value = 3.142



    Step 2 :  

    Put the values in the formulas and calculate it further.


     


    Volume of a Cylinder


     


    V = 3.142 * 52 * 10


     


    V = 785.39 cm3


     


    Curved Surface Area of Cylinder


     


    C = 2 * 3.142 * 5 * 10


     


    C = 314.149 cm2


     


    Total Surface Area of Cylinder


     


    A = 2 * 3.142 * 5 (10 + 5)


     


    A = 471.23 cm2



    Answer  :  

    Volume of Cylinder =785.39 cm3

     

    Curved Surface Area of Cylinder = 314.149 cm2

     

    Total Surface Area of Cylinder = 471.23 cm2



  2. The cylinder has the radius (r) = 7 m, height (h) = 13 m. Calculate for volume, curved surface area  and total surface area of cylinder.


    Step 1 :  

    Given: Cylinder has the radius (r) = 7 m, height (h) = 13 m.


     


    Volume of a Cylinder


     


    V = $\pi$r2h


     


    Where V = Volume, r = radius, h = height and $\pi$ value = 3.142


     


    Curved Surface Area of Cylinder


     


    C = 2$\pi$rh


     


    Where C = Curved surface area, r = radius, h = height and $\pi$ value = 3.142


     


    Total Surface Area of Cylinder


     


    A = 2$\pi$r(h+r)


     


    Where A = Area, r = radius, h = height and $\pi$ value = 3.142



    Step 2 :  

    Put the values in the formulas and calculate it further.


     


    Volume of a Cylinder


     


    V = 3.142 * 72 * 13


     


    V = 2001.19 m3


     


    Curved Surface Area of Cylinder


     


    C = 2 * 3.142 * 7 * 13


     


    C = 571.77 m2


     


    Total Surface Area of Cylinder


     


    A = 2 * 3.142 * 7 (13 + 7)


     


    A = 879.64 m2



    Answer  :  

    Volume of Cylinder = 2001.19 m3

     

    Curved Surface Area of Cylinder = 571.77 m2

     

    Total Surface Area of Cylinder = 879.64 m2



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