Calculate the volume of a regular triangular pyramid if the radius of the circle inscribed at the base is equal

Calculate the volume of a regular triangular pyramid if the radius of the circle inscribed at the base is equal and the height of the pyramid is 6.

If we deduce from a regular triangle, then the side of the triangular shape will be equal to a = 2 * r * √3
Next, we are looking for the area of the triangle (base)
It is equal to S = (a * a * √3) / 4
And then we look for the volume according to the formula V = 1/3 * S * h



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