Surface area

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

Correct answer:

S =  711.64 cm2

Step-by-step explanation:

V=1000 cm3 S1=100 cm2  S1 =  2 2r h = r h  V = 31 π r2 h V = 31 π r2 (S1/r) V = 3S1 π r  r=π S13 V=3.1416 1003 10009.5493 cm  h=S1/r=100/9.549310.472 cm  s=r2+h2=9.54932+10.472214.1722 cm  S=π r (r+s)=3.1416 9.5493 (9.5493+14.1722)=711.64 cm2



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