Let the volume of a sphere be \(V\) and its radius be \(r\). Let the volume of the large sphere be \(V_1\) and the volume of each small sphere be \(V_2\). Assume that \(n\) small spheres can be formed. According to the question, \(V \propto r^3\) Or, \(V = kr^3\), where \(k\) is a non-zero constant of proportionality. Substituting \(V = V_1\) and \(r = 14\) into the equation: \(V_1 = k \cdot (14)^3\) Substituting \(V = V_2\) and \(r = 7\) into the equation: \(V_2 = k \cdot (7)^3\) ∴ \(V_1 = n \times V_2\) Or, \(k \cdot (14)^3 = n \cdot k \cdot (7)^3\) Or, \(n = \frac{14^3}{7^3}\) Or, \(n = \frac{14 \times 14 \times 14}{7 \times 7 \times 7}\) Or, \(n = 8\) ∴ The large sphere can be melted to form 8 small spheres. (Proved)