Final answer:
To calculate the mass of a copper hollow spherical shell, both the inner radius and the shell's thickness or outer radius are needed, along with the density of copper. The mass is found by calculating the volume of the shell and multiplying it by the density. Without complete dimensions, the mass cannot be determined.
Step-by-step explanation:
Calculating the Mass of a Copper Hollow Spherical Shell;
To calculate the mass of a hollow spherical shell made of copper with a given inner radius, we need to know the thickness of the shell or the outer radius in addition to the inner radius. Since only the inner radius of 5.70 cm is given and the density of copper is provided in a separate piece of information (8.95 g/cm³), we cannot immediately determine the mass of the hollow spherical shell without additional data about the shell's wall thickness or the outer radius. If that information were provided, the mass could be calculated by finding the volume of the shell and multiplying it by the density of copper.
The formula to calculate the volume of a hollow spherical shell is:
V = ⅔π(d₁³ - d₀³)
where d₁ is the outer diameter, d₀ is the inner diameter, and π is Pi (approximately 3.14159).
After finding the volume, it would be multiplied by the density of copper to obtain the mass as follows:
m = V × density
Without the thickness of the shell or the exact dimensions of the outer spherical surface, it is not possible to directly calculate the mass.