Final answer:
To find the unused volume of metal, calculate the total volume of 200 spheres using the formula V = 4/3πr³ and subtract this from the original volume of the cuboid.
Step-by-step explanation:
Volume Used in the Creation of Spheres
To calculate the volume of metal from the cuboid that is not used, we need to subtract the total volume of the 200 spheres from the total volume of the melted cuboid. For one sphere, the volume
V is given by the formula for the volume of a sphere, V = 4/3πr³. Since the radius (r) of each sphere is 0.5 cm, the volume of one sphere is V = 4/3π(0.5 cm)³.
For 200 spheres, the total volume (Vtotal) would be 200 × 4/3π(0.5 cm)³. By calculating this volume and subtracting it from the original cuboid volume, you get the volume of metal not used in the process of making these spheres.