Each edge of an equilateral triangle is 'a' cm. A cone is formed by joining any two sides of the triangle.
What is the volume of the cone ?

Options

A. `(a^2)/(24 pi ^(3))sqrt(4 - pi^(2))`
B. `(a^(3))/(24 pi^(2)) sqrt(4pi^(2)-1)`
C. `(a^(3))/(8pi^(2)) sqrt(1-4pi^(2))`
D. `(a)/(sqrt(3))pi^(2)(1-(2)/(pi))`

Answer

B