Well getting stuff into orbit currently costs $10,000 a pound...
So figuring it all out, and if my math is right:
Volume penetrator: meters^3 0.4448
Density: Steel kg/m^3 8030
Density: Tungsten kg/m^3 19250
Average density: kg/m^3 13640
Weight of penetrator: kg 6067.072
Weight of penetrator: lbs 13347.5584
Multiplied by $10,000/lb launch cost: 133475584
Cost just to launch a single penetrator: $133,475,584