Solution:

Given radius of the metallic sphere, r = 4.9 cm

Volume of the sphere, V = (4/3)r³

V = (4/3)×(22/7)×4.9³

V = 493.005

V = 493 cm³ (approx)

Given Density = 7.8 g per cm³

Density = Mass/ Volume

Mass = Density×Volume

= 7.8×493

= 3845.4 g

Hence the mass of the shot put is 3845.4 g.