Tri angled pyramid ABCD's bottom is an equilateral triangle with side lenght of 10 cm. Pyramids height endpoint at the bottom side is located inside the triangle and is 2 cm from side AB and sqrt3 cm from side AC. Into pyramid will be placed a plane/level so that it would separate the largest volume pyramid from the first pyramid . Find largest volume of the new pyramid , if the first pyramid's height is 15 cm .

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