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.
Answer
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Leave a comment if you need any clarifications.
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There was a small mistake that I just fixed.
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Hi, thank you so much for your answer. However, my answers , when added to the 300km 'core' don't add up to 1400KM? Thanks
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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?
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That values I got for each layer don't add up to *1,700 not 1,400 sorry.
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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.
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Let me know if you need any other clarifications.
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Hi Phillip, It works now thank you so much for your help I really appreciate it.
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You're welcome. I am glad I was able to help.
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