Surface area

The volume of a cone is 1000 cm3 and the content area of the axis cut is 100 cm2. Calculate the surface area of the cone.

Correct result:

S =  711.64 cm2

Solution:

S1=100 cm2 V=1000 cm3 S1=2rh2 rh=100 h=100/r V=13πr2h V=13πr2100/r V=1003πr r=9.55 cm h=100/r=10.47 cm  s=r2+h2=14.17 cm  S=πr(r+s)=π9.55⋅(9.55+14.17)=711.64 cm2 

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