Solution:

Given radius of metallic cones, r = 2 cm

Height of cone, h = 3 cm

Volume of cone = (1/3)r²h

= (1/3)×2²×3

= 4 cm³

Radius of the solid sphere, R = 6 cm

Volume of the solid sphere = (4/3)R³

= (4/3)6³

= 4××2×6×6

= 288 cm³

Number of cones made from sphere = Volume of solid sphere / volume of the cone

= 288/4

= 72

Hence the number of cones that can be made is 72.