Axial section

The axial section of the cone is an equilateral triangle with an area 208 m2. Calculate the volume of the cone.

Correct answer:

V =  153.5 m3

Step-by-step explanation:

S=208 m2 S = π r ( r + s ) s = a r = a/2  S = π   2a(2a+a) = 43 π  a2 a=3π4 S=3 3.14164 2089.3956 m h=a22a2=9.3956229.395626.6437 m  r=a/2=9.3956/24.6978 m  V=31 π r2 h=31 3.1416 4.69782 6.6437153.5437 m3   Verifying Solution:   S2=π r (r+a)=3.1416 4.6978 (4.6978+9.3956)=208 m2

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