Equilateral triangles,cones and fun

Geometry Level 3

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(in $cm^3)$ ?

(a^3/24 \pi^2) \sqrt{4\pi^2+1}

(a^3/24 \pi^2) \sqrt{4\pi^2-1}

(a^2/24 \pi^2) \sqrt{4\pi^2-1}

None of these.

(a^3/8 \pi^2) \sqrt{4\pi^2-1}

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Equilateral triangles,cones and fun

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