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=78.5/3.1416≐4.9987 cm  S2=πrs  s=S2/(π⋅ r)=219.8/(3.1416⋅ 4.9987)≐13.9965 cm  s2=r2+h2  h=s2−r2=13.99652−4.99872≐13.0734 cm  V=13⋅ S1⋅ h=13⋅ 78.5⋅ 13.0734=342.0868 cm3

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