Thickness of Multiple Spherical Shells

Hi, I am looking find the thickness of multiple spherical shells.

The radius of the entire sphere is 1700 kilometers.

There is a smaller sphere inside with a radius of 300 kilometers.

The 1400 kilometer shell ('mantle') is split into 11 different shells.

The basal shell, layer 0, makes up 50% of the volume of the 'mantle'. The remaining 50% is made up of ten layers, each with a volume of 5% of that remaining 50%.

Layer  Volume of 'mantle' (%)
0 50
1 5
2 5
3 5
4 5
5 5
6 5
7 5
8 5
9 5
10 5

Thank you.


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Erdos Erdos
  • Erdos Erdos

    Leave a comment if you need any clarifications.

  • Erdos Erdos

    There was a small mistake that I just fixed.

  • Hi, thank you so much for your answer. However, my answers , when added to the 300km 'core' don't add up to 1400KM? Thanks

  • Erdos Erdos

    What do you mean by don't add up? We should have r_10=1700. Indeed r_i is the radius of the i th layer. Is that what you are getting?

  • That values I got for each layer don't add up to *1,700 not 1,400 sorry.

  • Erdos Erdos

    There was a mistake in my calculations. I have fixed it. I doubled checked everything and the r_i add up to 1700 now. Sorry for the inconvenience.

  • Erdos Erdos

    Let me know if you need any other clarifications.

  • Hi Phillip, It works now thank you so much for your help I really appreciate it.

  • Erdos Erdos

    You're welcome. I am glad I was able to help.

The answer is accepted.
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