According to the question,
The radius of each spherical lead shot $=r=4/2=2cm$
Volume of each spherical lead shot $=4/3\pi {{r}^{3}}=4/3\pi {{2}^{3}}c{{m}^{3}}$
Edge of the cube $=44cm$
Volume of the cube $={{44}^{4}}c{{m}^{3}}$
Number of spherical lead shots $=$ Volume of cube/ Volume of each spherical lead shot
$=44\times 44\times 44/\left( 4/3\pi {{2}^{3}} \right)$
$=2541$