Understanding Inner and Outer Radius

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The discussion focuses on understanding the concept of inner and outer radii in the context of calculating the mass of a hollow spherical shell. The inner radius (r1) represents the space that is not filled, while the outer radius (r2) defines the outer boundary of the shell. To find the volume of the shell, one must subtract the volume of the inner sphere (radius r1) from the volume of the outer sphere (radius r2). This volume can then be used to calculate the mass of the material using its density. Understanding this subtraction is crucial for solving related physics problems effectively.
mysticxhobo
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Im new to these forums and I'm looking forward to becoming a regular contributor. I'm attempting to prepare for physics in the fall and I have a textbook problem that i understand the process of solving but not understand the concept.

Heres the question:
What mass of a material w/ density p is required to make a hollow spherical shell having inner radius r1 and outer radius r2?

I understand everything besides the inner and outer radius part. What is the textbook trying to say with that statement. How do you know to subtract them? So if you understood to subtract the radii can you please explain your thought process?

Again thanks a alot.
 
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'Hollow' means 'It ain't dere no mo.'

If I have a 'hollow spherical shell', it means the outer surface of the sphere has a radius 'r2' for instance and the inside surface of the hollow spherical shell, which isn't there, has a radius of 'r1' for instance.
 
The difference between the two radii is the thickness of the shell. You can determine the volume of the shell by subtracting the volume of a sphere of radius r1 from the volume of a sphere of radius r2. Once you know the volume of the shell, you can calculate its mass with a given density or vice-versa.
 

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