sphere

Recasting won't change the volume.

Let D₁,D₂,D₃,D_o be the diameters of the three recast balls and the initial spherical ball respectivley.

Volume of ball 1 + Volume of ball 2 + Volume of ball 3 = Volume of spherical ball

πD₁³/6 + πD₂³/6 + πD₃³/6 = πD₀³/6

D₁³ + D₂³ + D₃³ = D₀³

D₃³ = D₀³ - ( D₁³ + D₂³)

= 3³ - ((3/2)³+2³)

=125/8

D₃ = 5/2

The diameter of the third ball is 5/2 cm.

Regards,

Team,

TopperLearning.