14 identical solid metallic spheres of radius 3 cm are melted to form a single solid sphere. 259.97 cm³ of the material was lost in the process. What is the volume of the newly formed sphere?

1324.03  cm³

Total volume of the melted material = 14 × (volume of 1 sphere)

                                                    = 14 × \(\frac{4}{3}\) \(\pi \) (3)³

                                                    = 14 × \(\frac{4}{3}\) × \(\frac{22}{7}\) × 27

                                                     = 1584 cm³

Since 259.97 cm³ of material was lost;

remaining Volume of the New sphere = 1584 - 259.97 = 1324.03  cm³