The funnel

The funnel has the shape of an equilateral cone. Calculate the content of the area wetted with water if you pour 3 liters of water into the funnel.

Correct result:

S =  8.7876 dm2

Solution:

V=3 l dm3=3 1  dm3=3 dm3 2r=s s2=h2+r2 4r2=h2+r2 3r2=h2  h=3 r  V=13πr2 h V=13πr2 3 r V=33πr3  r=3 V3 π3=3 33 3.141631.1826 dm h=3 r=3 1.18262.0484 dm s=2 r=2 1.18262.3652 dm  S=π r s=3.1416 1.1826 2.3652=8.7876 dm2



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