Axial section

The axial cross-section of a cone is an equilateral triangle with an area of 208 km². Calculate the volume of the cone.

Final Answer:

V =  188.1 km3

Step-by-step explanation:

S=208 km2 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 km h=a2(a/2)2=9.39562(9.3956/2)28.1369 km  r=a/2=9.3956/24.6978 km  V=31 π r2 h=31 3.1416 4.69782 8.1369188.0518 km3   Verifying Solution:   S2=π r (r+a)=3.1416 4.6978 (4.6978+9.3956)=208 km2



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