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.