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?
Answer & explanation
Correct answer: option 2
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