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⋅ 3.14163≐1.1826 dm h=3⋅ r=3⋅ 1.1826≐2.0484 dm s=2⋅ r=2⋅ 1.1826≐2.3652 dm  S=π⋅ r⋅ s=3.1416⋅ 1.1826⋅ 2.3652=8.7876 dm2

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