# A solid metal con

Given: base radius of cone = rc = 12 cm

Height of cone = h = 24 cm

Diameter of spherical ball = 6 cm

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

Formula: volume of cone = (1/3)πrc2h

Volume of sphere = (4/3)πrs3

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 × rs3 = (1/3) × π × rc2 × h

n × 4 × 33 = 122 × 24

n × 9 = 12 × 24

n = 32

Number of balls formed = 32

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