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Cone Calculator
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Cone Calculator is an online tool used to find volume, slant height, curved surface area and total surface of cone.
Cone
Cone is a solid geometrical object. It is generated by rotating right angle triangle from its circular base.
 

Step by Step Calculation

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Step 1 :  

Cone Formula's


 


Slant Height of Cone


 


l = $\sqrt{r^{2} + h^{2}}$


 


Where l = slant height, r = radius and h = height


 


Volume of Cone


 


V = $\frac{1}{3}$ $\pi$r2h


 


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


 


Curved Surface Area of Cone


 


CSA = $\pi$rl


 


Where CSA = Curved Surface Area, r = radius, l = slant height and $\pi$ value = 3.142


 


Total Surface Area of Cone


 


A = $\pi$r(l + r)


 


Where A = area, r = radius, l = slant 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 cone has the radius = 8 cm, height = 16 cm. Find the slant height, volume, curved surface area and total surface area of the cone.


    Step 1 :  

    Given: Cone has the radius = 8 cm, height = 16 cm.


     


    Slant Height of Cone


     


    l = $\sqrt{r^{2} + h^{2}}$


     


    Where l = slant height, r = radius and h = height


     


    Volume of Cone


     


    V = $\frac{1}{3}$ $\pi$r2h


     


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


     


    Curved Surface Area of Cone


     


    CSA = $\pi$rl


     


    Where CSA = Curved Surface Area, r = radius, l = slant height and $\pi$ value = 3.142


     


    Total Surface Area of Cone


     


    A = $\pi$r(l + r)


     


    Where A = area, r = radius, l = slant height and $\pi$ value = 3.142



    Step 2 :  

    Put the values in the formulas and calculate it further.


     


    Slant Height of Cone


     


    l = $\sqrt{8^{2} + 16^{2}}$


     


    l = 17.88 cm


     


    Volume of Cone


     


    V = $\frac{1}{3}$ 3.142 * 82 * 16


     


    V = 1072.33 cm3


     


    Curved Surface Area of Cone


     


    CSA = 3.142 * 8 * 17.88


     


    CSA = 449.6 cm2


     


    Total Surface Area of Cone


     


    A = 3.142 * 8 * (17.88 + 8)


     


    A = 650.66 cm2



    Answer  :  

    Slant Height of Cone = 17.88 cm

     

    Volume of Cone = 1072.33 cm3

     

    Curved Surface Area of Cone = 449.6 cm2

     

    Total Surface Area of Cone = 650.66 cm2



  2. The cone has the radius = 5 m, height = 13 m. Find the slant height, volume, curved surface area and total surface area of the cone.


    Step 1 :  

    Given: Cone has the radius = 5 m, height = 13 m.


     


    Slant Height of Cone


     


    l = $\sqrt{r^{2} + h^{2}}$


     


    Where l = slant height, r = radius and h = height


     


    Volume of Cone


     


    V = $\frac{1}{3}$ $\pi$r2h


     


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


     


    Curved Surface Area of Cone


     


    CSA = $\pi$rl


     


    Where CSA = Curved Surface Area, r = radius, l = slant height and $\pi$ value = 3.142


     


    Total Surface Area of Cone


     


    A = $\pi$r(l + r)


     


    Where A = area, r = radius, l = slant height and $\pi$ value = 3.142



    Step 2 :  

    Put the values in the formulas and calculate it further.


     


    Slant Height of Cone


     


    l = $\sqrt{5^{2} + 13^{2}}$


     


    l = 13.92 m


     


    Volume of Cone


     


    V = $\frac{1}{3}$ 3.142 * 52 * 13


     


    V = 340.33 m3


     


    Curved Surface Area of Cone


     


    CSA = 3.142 * 5 * 13.92


     


    CSA = 218.78 m2


     


    Total Surface Area of Cone


     


    A = 3.142 * 5 * (13.92 + 5)


     


    A = 297.32 m2



    Answer  :  

    Slant Height of Cone = 13.92 m

     

    Volume of Cone = 340.33 m3

     

    Curved Surface Area of Cone = 218.78 m2

     

    Total Surface Area of Cone = 297.32 m2



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