Given: base radius of cone = r_c = 12 cm

Height of cone = h = 24 cm

Diameter of spherical ball = 6 cm

Radius of spherical ball = r_s = 6/2 = 3 cm

Formula: volume of cone = (1/3)πr_c²h

Volume of sphere = (4/3)πr_s³

Let n be the number of spherical balls made

As the cone is melted and then the spherical balls are made therefore the volume remains same

i.e. volume of n spherical balls made = volume of cone

∴ n × (4/3) × π × r_s³ = (1/3) × π × r_c² × h

n × 4 × 3³ = 12² × 24

n × 9 = 12 × 24

n = 32

∴ Number of balls formed = 32