Final answer:
The density of the material can be calculated by dividing its mass by its volume. For a hollow metallic sphere, the volume is obtained by subtracting the volume of the inner sphere from the volume of the outer sphere. The density of the material is then obtained by dividing the mass by the volume.
Step-by-step explanation:
The density of a material can be calculated by dividing its mass by its volume. In the case of a hollow metallic sphere, we can assume that the material is spread uniformly throughout the sphere. The volume of a hollow sphere can be calculated by subtracting the volume of the inner sphere from the volume of the outer sphere. The density of the material is then obtained by dividing the mass of the sphere by its volume.
The mass of the sphere is given as 2.5 kg. The volume of the inner sphere can be calculated using the formula V = (4/3)πr^3, where r is the inner radius. Similarly, the volume of the outer sphere can be calculated using the same formula with the outer radius. Subtracting the volume of the inner sphere from the volume of the outer sphere gives us the volume of the material. Finally, dividing the mass of the sphere by its volume gives us the density of the material.