Volume of the cone

Calculate the volume of the cone if the content of its base is 78.5 cm2 and the content of the shell is 219.8 cm2.

Correct result:

V =  342.0868 cm3

Solution:

S1=78.5 cm2 S2=219.8 cm2  S1=πr2  r=S1/π=78.5/3.14164.9987 cm  S2=πrs  s=S2/(π r)=219.8/(3.1416 4.9987)13.9965 cm  s2=r2+h2  h=s2r2=13.996524.9987213.0734 cm  V=13 S1 h=13 78.5 13.0734=342.0868 cm3



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